View source for 10,000

{{About|the natural number (and other integers between 10,000 and 19,999)}}
{{Infobox number

| number = 10000
| numeral = decamillesimal
| unicode = {{overline|X}}, ↂ
| greek prefix = [[myria-]]
| latin prefix = [[decamilli-]]
| lang1 = [[Chinese numerals|Chinese numeral]]
| lang1 symbol = 万, 萬

|lang2=[[Armenian numerals|Armenian]]|lang2 symbol=Օ|lang3=[[Egyptian numerals|Egyptian hieroglyph]]|lang3 symbol=<span style="font-size:300%;">𓂭</span>|divisor=25 total}}
'''10,000''' ('''ten thousand''') is the [[natural number]] following [[9999 (number)|9,999]] and preceding 10,001.

==Name==
{{See also|Orders of magnitude (numbers)}}

Many languages have a specific word for this number: in [[Ancient Greek]] it is {{lang|grc|μύριοι}} (the etymological root of the word [[myriad]] in [[English language|English]]), in [[Aramaic language|Aramaic]] {{lang|arc|ܪܒܘܬܐ}}, in [[Hebrew language|Hebrew]] {{lang|he|רבבה}} [{{transliteration|he|revava}}], in [[Chinese language|Chinese]] {{lang|zh|萬/万}} (Mandarin {{transliteration|cmn|wàn}}, [[Cantonese]] {{transliteration|yue|maan6}}, Hokkien ''bān''), in [[Japanese language|Japanese]] {{nihongo2|万/萬}} [{{transliteration|ja|man}}], in [[Khmer language|Khmer]] {{lang|km|ម៉ឺន}} [{{transliteration|km|meun}}], in [[Korean language|Korean]] {{lang|ko|만/萬}} [{{transliteration|ko|man}}], in [[Russian language|Russian]] {{lang|ru|тьма}} [{{transliteration|ru|t'ma}}], in [[Vietnamese language|Vietnamese]] {{lang|vi|vạn}}, in [[Sanskrit]] अयुत [''ayuta''], in [[Thai language|Thai]] {{lang|th|หมื่น}} [{{transliteration|th|meun}}], in [[Malayalam]] {{lang|ml|പതിനായിരം}} [{{transliteration|ml|patinayiram}}], and in [[Malagasy language|Malagasy]] ''alina''.<ref>{{cite web|url=http://malagasyword.org/bins/teny2/alina|title = Malagasy Dictionary and Madagascar Encyclopedia : Alina}}</ref> In many of these languages, it often denotes a [[indefinite and fictitious numbers|very large but indefinite number]].<ref>{{cite web|url=http://www.merriam-webster.com/dictionary/myriad|title=Myriad Definition & Meaning - Merriam-Webster|website=Merriam-Webster's Online Dictionary|date=13 March 2024 }}</ref>

The classical [[Greeks]] used letters of the [[Greek alphabet]] to represent [[Greek numerals]]: they used a capital letter [[Mu (letter)|mu]] (Μ) to represent ten thousand.{{Citation needed|date=February 2024}} This Greek root was used in early versions of the [[metric system]] in the form of the decimal prefix [[Non-SI unit prefix|myria-]].<ref>{{Cite journal |last=Baldwin |first=James |date=1885 |title=Notes on Teaching History |url=https://www.jstor.org/stable/44009109 |journal=Educational Weekly |volume=5 |issue=2 |pages=4–5 |jstor=44009109 |issn=2475-3262}}</ref>

Depending on the country, the number ten thousand is usually written as 10,000 (including in the UK and US), 10.000, or 10 000.<ref>{{cite web|url=https://docs.oracle.com/cd/E19455-01/806-0169/overview-9/index.html|title=Decimal and Thousands Separators (International Language Environments Guide)|website=oracle.com}}</ref>

==In mathematics==
In [[scientific notation]], it is written as '''10<sup>4</sup>''' or '''1 E+4''' (equivalently '''1 E4''') in [[E notation]]. It is the [[Square (algebra)|square]] of [[100 (number)|100]] and the [[square root]] of [[100,000,000]].

The value of a [[myriad]] to the [[Exponentiation|power]] of itself, 10000<sup>10000</sup> = 10<sup>40000</sup>.

It has a total of 25 [[divisor]]s, whose [[geometric mean]] is a [[Natural number|whole number]], '''100''' (the number of primes below this value is 25).<ref name=A006880>{{Cite OEIS|A006880|Number of primes less than 10^n}}</ref>

It has a [[Carmichael function|reduced totient]] of [[1000 (number)|500]], and a [[Euler's totient function|totient]] of [[4000 (number)|4,000]], with a total of 16 [[integer]]s having a totient value of 10,000.<ref>{{Cite OEIS |A002322 |Reduced totient function}}</ref><ref>{{Cite OEIS|A000010|Euler totient function}}</ref>

There are a total of [[1229 (number)|1,229]] prime numbers less than ten thousand, a count that is itself prime.<ref name=A006880/><ref>{{Cite OEIS|A000040|The prime numbers}} See "Table of n, prime(n) for n = 1..10000" under "Links".</ref> 
 
A [[myriagon]] is a [[polygon]] with '''ten thousand edges''' and a total of 25 [[dihedral group|dihedral]] symmetry groups when including the myriagon itself, alongside  25 [[cyclic group]]s as [[subgroup]]s.<ref>{{Cite book |author1=John Horton Conway |author1-link= John Horton Conway |author2=Heidi Burgiel |author3=Chaim Goodman-Strauss |url=https://www.routledge.com/The-Symmetries-of-Things/Conway-Burgiel-Goodman-Strauss/p/book/9781568812205 |title=The Symmetries of Things |publisher=[[A K Peters|A K Peters/CRC Press]] |year=2008 |isbn=978-1-56881-220-5 }} Chapter 20.</ref>

==In science==
* In [[astronomy]],
** [[asteroid]] Number: '''[[10000 Myriostos]]''', Provisional Designation: {{mp|1951 SY|}}, Discovery Date: September 30, 1951, by [[A. G. Wilson]]:[[List of asteroids (9001-10000)]].
* In [[climate]], '''Summary of 10000 Years''' is one of several pages of the ''Climate Timeline Tool: Exploring Weather & Climate Change Through the Powers of 10'' sponsored by the [[National Climatic Data Center]] of the [[National Oceanic & Atmospheric Administration]].<ref>[http://www.ngdc.noaa.gov/paleo/ctl/index.html Climate Timeline Information Tool<!-- Bot generated title -->]</ref>
* In [[computing]],
** [[65,536]] [[kilobyte]]s in [[decimal]] is equal to '''10,000 kB''' in [[hexadecimal]] (the equivalent [[Addressing mode|addressing]] ranges of 0 to [[65,535]] in decimal are 0 to FFFF in hex).
**[[NASA]] built a '''10000-processor [[Linux]] computer''' (it is actually a 10,240-processor) called [[Columbia (supercomputer)|Columbia]].<ref>[http://www.infoworld.com/article/04/07/28/HNnasalinux_1.html news]</ref><ref>{{cite web |url=http://www.nas.nasa.gov/About/Projects/Columbia/columbia.html |title=NASA Project: Columbia |access-date=2005-02-15 |archive-url=https://web.archive.org/web/20050408085108/http://www.nas.nasa.gov/About/Projects/Columbia/columbia.html |archive-date=2005-04-08 |url-status=dead }}</ref>
* In [[geography]],
**'''Land of 10000 Lakes''' is the [[nickname]] for the state of [[Minnesota]].
** '''Land of 10000 Trails''' or '''10000trails.com''' is an organization created in 1999 by the TN/KY Lakes Area Coalition and based in West [[Tennessee]] and West [[Kentucky]] to promote tourism by developing trails in the region.<ref>[http://www.10000trails.com/ 10000 trails web site]</ref>
** '''[[Ten Thousand Islands National Wildlife Refuge]]''' is situated in the lower end of the Fakahatchee and Picayune Strands of [[Big Cypress Swamp]] and west of [[Everglades National Park]] in [[Florida]].<ref>{{cite web |url=http://southeast.fws.gov/TenThousandIsland/ |title=Ten Thousand Islands NWR |website=U.S. Fish & Wildlife Service |access-date=2005-02-14 |archive-date=2005-03-01 |archive-url=https://web.archive.org/web/20050301104852/http://southeast.fws.gov/tenthousandisland/ |url-status=dead }}</ref>
** '''[[Valley of Ten Thousand Smokes]]''' in [[Alaska]].
* In [[physics]],
** [[Myria-]] (and [[myrio-]])<ref name="Brewster_1830">{{cite book|title=The Edinburgh Encyclopædia|first=David|last=Brewster|volume=12|date=1830|location=Edinburgh, UK|publisher=William Blackwood, John Waugh, John Murray, Baldwin & Cradock, J. M. Richardson|page=494|url=https://books.google.com/books?id=0bIkTUZAbxcC|access-date=2015-10-09}}</ref><ref name="Brewster_1832">{{cite book|title=The Edinburgh Encyclopaedia|first=David|last=Brewster|volume=12|edition=1st American|date=1832|publisher=Joseph and Edward Parker<!-- |printer=William Brows -->|url=https://books.google.com/books?id=17RGAQAAIAAJ&pg=PA572|access-date=2015-10-09}}</ref><ref name="Dingler_1823">{{cite book|title=Polytechnisches Journal|first=Johann Gottfried|last=Dingler|volume=11|date=1823|publisher=J.W. Gotta'schen Buchhandlung|language=de|location=Stuttgart, Germany|url=https://books.google.com/books?id=wF3zAAAAMAAJ&pg=PA500|access-date=2015-10-09}}</ref> is an obsolete [[metric prefix]] that denoted a factor of '''10<sup>+4</sup>''', '''ten thousand''', or '''10,000'''.
** '''10,000 [[hertz]], 10 [[kilohertz]]'', or ''10&nbsp;kHz''' of the [[radio frequency]] spectrum falls in the [[very low frequency]] or VLF band and has a [[wavelength]] of 30 kilometres.
** In [[orders of magnitude (speed)]], the [[speed]] of a [[fast neutron]] is '''10000&nbsp;km/s'''.
** In [[acoustics]], '''10,000 [[hertz]], 10 [[kilohertz]]'', or ''10&nbsp;kHz''' of a sound signal at sea level has a wavelength of about 34&nbsp; mm.
** In [[music]], a 10 kilohertz sound is a [[E♭ (musical note)|E♭<sub>9</sub>]] in the [[A440 (pitch standard)|A440 pitch standard]], a bit more than an octave higher in pitch than the highest note on a standard piano.

==In time==
* '''10000 BC''', '''10000 BCE''', or '''[[10th millennium BC]].'''
* '''10000-year clock''' or the [[Clock of the Long Now]] is a mechanical clock designed to keep time for 10000 years.

==In the arts==
* In films,
** ''[[10,000 Black Men Named George]]'' (2002, TV).
** ''[[The Phantom from 10,000 Leagues]]'' (1956).
** ''[[Vietnam: The Ten Thousand Day War]]'' (1980, mini).
* In music,
** ''[[10,000 Days (Tool album)|10,000 Days]]'' is the title of the fourth studio album by [[Tool (band)|Tool]].
** ''[[Ten Thousand Fists]]'' is an album by [[Disturbed (band)|Disturbed]].
** ''[[10,000 Hz Legend]]'' album by [[Air (French band)|Air]] 2001.
** ''[[10,000 Maniacs]]'' is a US [[Rock and roll|rock]] band.
** ''[[Ten Thousand Men of Harvard]]'' is a [[fight song]] of [[Harvard University]].
** [[10,000 Reasons (album)|''10,000 Reasons'' (album)]] is a 2013 Christian album by Matt Redman.
** "[[10,000 Reasons (Bless the Lord)]]" is a 2013 single by Matt Redman.
** ''[[10,000 Promises.]]'' is a [[J-pop|Japanese pop]] group.
** "[[Ten Thousand Strong]]" is a song by American [[power metal]] band [[Iced Earth]].
** ''[[10,000 Gecs]]'' is the title of the second studio album by American experimental duo [[100 gecs]].

==In other fields==
* In currency,
** A version of [[Iraq]]'s 10,000 [[Iraqi dinar|dinar]] [[banknote]] has Abu Ali Hasan Ibn al-Haitham (also known as [[Alhazen]]) on the front, and a later issue has sculptor [[Jawad Saleem]]'s Freedom Monument in Baghdad on the front. Both notes have an image of Mosul's [[Great Mosque of al-Nuri (Mosul)#Minaret|al-Hadba' Minaret]] on the back.<ref>{{cite web|url=http://www.iraqi-dinar.com/dinar-currency.php |title=Iraq Dinar Currency Photos&#124; Banknote Series &#124; 25000, 10000, 5000, 1000, 250, 50 Dinars |publisher=iraqi-dinar.com |date= |archive-url=https://web.archive.org/web/20050207025025/http://www.iraqi-dinar.com/dinar-currency.php |accessdate=2022-08-04|archive-date=2005-02-07 }}</ref> The first issue had an image of former Iraqi president [[Saddam Hussein]] and the Spiral Minaret - [[Malwiya minaret|Al-Minārat Al-Malwiyyah]] in [[Samarra]].<ref>http://www.iraqsales.com/10%2C000.htm {{Webarchive|url=https://web.archive.org/web/20050206094238/http://iraqsales.com/10,000.htm |date=2005-02-06 }}</ref>
** the Japanese [[Japanese yen|¥]]10,000 banknote depicts [[Fukuzawa Yukichi]].
** [[Kazakhstan]]'s 10,000[[Kazakhstani tenge|₸]] banknote.
** the [[Lebanon|Lebanese]] [[Lebanese pound|£L]]10,000 banknote depicts Beirut's [[Martyrs' Square, Beirut|Martyrs' Square]].
** [[Myanmar]]'s (Burma's) [[Burmese kyat|Ks.]]10,000/- banknote.
** the U.S. [[Large denominations of United States currency|$10,000 note]] depicts a picture of [[Salmon P. Chase]].
* In distances,
** 10&nbsp;km, 10,000 m, or [[1 E+4 m]] is equal to:
*** 1 Scandinavian [[Scandinavian mile|''mil'']].
*** about 6.2137 [[mile|English miles]].
*** side of [[Square (geometry)|square]] with area [[Orders of magnitude (area)|100]] km<sup>2</sup>.
*** radius of a [[circle]] with area 100 '''{{pi}}''' km<sup>2</sup> ≈ 314.159&nbsp;km<sup>2</sup>.
* In finance, on March 29, 1999, the [[Dow Jones Industrial Average]] closed at 10006.78, which was the first time the index closed above the 10,000 mark.
* In [[futurology]], [[Stewart Brand]] in ''Visions of the Future: The 10,000-Year Library'' proposes a museum built around a 10,000-year clock as an idea for assuring that vital information survives future crashes of civilizations.<ref>{{cite web|url=http://www.kurzweilai.net/meme/frame.html?main=%2Farticles%2Fart0158.html |title=	The 10,000-Year Library |first=Stewart |last=Brand |website=kurzweilai.net |date= |archive-url=	https://web.archive.org/web/20050205055351/http://www.kurzweilai.net/meme/frame.html?main=%2Farticles%2Fart0158.html |accessdate=2022-08-04|archive-date=2005-02-05 }}</ref>
* In games,
** ''Ten Thousand'' is one name of a dice game called [[farkle]].
* In game shows, ''[[Pyramid (game show)|The $10,000 Pyramid]]'' ran on television from 1973 to 1974.
* In history,
**'' [[Army of 10,000]]'' Mississippi [[American Civil War]] military unit, 1861–1862.<ref>{{cite web|url=http://mississippiscv.org/MS_Units/army_of_10k.htm |title=Army of 10,000 |website=mississippiscv.org |date= |archive-url=https://web.archive.org/web/20020401045041/http://mississippiscv.org/MS_Units/army_of_10k.htm |accessdate=2022-08-04|archive-date=2002-04-01 }}</ref>
** The ''[[Army of the Ten Thousand]]'' were a group of [[Ancient Greek]] [[mercenaries]] who marched against [[Artaxerxes II of Persia]].
** The [[Persian Immortals]] were also called the ''Ten Thousand'' or ''10,000 Immortals'', so named because their Number of 10,000 was immediately re-established after every loss.
** ''The 10,000 Day War: Vietnam'' by [[Michael Maclear]] {{ISBN|0-312-79094-5}}  also alternate titles ''The ten thousand day war: Vietnam, 1945–1975'' (10,000 days is 27.4 years).
** ''Tomb of Ten Thousand Soldiers'' – defeat of the [[Tang dynasty]] army of China in the [[Kingdom of Nanzhao|Nanzhao]] kingdom in 751.
** In Islamic history, 10,000 is the Number of besieging forces led by Muhammad's adversary, [[Abu Sufyan]], during the [[Battle of the Trench]].
** 10,000 is the number of [[Muhammad]]'s soldiers during the [[conquest of Mecca]].
* In [[language]],
** the Chinese, Japanese, Korean, and Vietnamese phrase ''[[ten thousand years|live for ten thousand years]]'' was used to bless emperors in East Asia.
** [[Myriad|Μύριοι]] is an [[Ancient Greek]] name for 10.000 taken into the modern European languages as 'myriad' (see above). Hebrew, Chinese, Japanese, and Korean have words with the same meaning.
* In literature,
** {{Lang|ja-latn|[[Man'yōshū]]}} ({{nihongo2|万葉集}} {{Lang|ja-latn|Man'yōshū}}, ''Collection of Ten Thousand Leaves'') is the oldest existing, and most highly revered, collection of [[Japanese poetry]].
** ''Ten Thousand a Year'' 1839 by [[Samuel Warren (British lawyer)|Samuel Warren]].
** ''Ten Thousand a Year'' 1883?. A drama in three acts. Adapted from the celebrated novel of the same name, by the author of the ''Diary of a Physician'', and arranged for the stage by [[Richard Brinsley Peake]].<ref>{{cite web | url=http://www.hti.umich.edu/cgi/b/bib/bibperm?q1=eprosed-P3.0504 | title=University of Michigan Digital Library - Login Options }}</ref>
** [[Anabasis (Xenophon)|Anabasis]], by the Greek writer Xenophon (431–360 B.C.), about the ''[[Army of the Ten Thousand]]'' – Greek mercenaries taking part in the expedition of Cyrus the Younger, a Persian prince, against his brother, King Artaxerxes II.
** ''The Ten Thousand: A Novel of Ancient Greece'' by [[Michael Curtis Ford]]. 2001. {{ISBN|0-312-26946-3}}  Historic fiction about the ''[[Army of the Ten Thousand]]''.
** ''The World of the Ten Thousand Things: Poems 1980&ndash;1990'' by [[Charles Wright (poet)|Charles Wright]]  {{ISBN|0-374-29293-0}}  {{ISBN|0-374-52326-6}}.
** ''Ten Thousand Lovers'' by [[Edeet Ravel]] {{ISBN|0-06-056562-4}}.
* In philosophy, [[Lao Zi]] writes about ''ten thousand things'' in the [[Tao Te Ching]]. In [[Taoism]], the "10,000 Things" is a term meaning all of phenomenal [[reality]].<ref>{{cite web|url=http://www.thebigview.com/tao-te-ching/chapter34.html |title=Tao Te Ching, Verse 34 |website=thebigview.com |date= |archive-url=https://web.archive.org/web/20070817180923/http://www.thebigview.com/tao-te-ching/chapter34.html |accessdate=2022-08-04|archive-date=2007-08-17 }}</ref>
* In [[piphilology]], ten thousand is the current world record for the Number of digits of [[pi]] memorized by a human being.
* In psychology, ''Ten Thousand Dreams Interpreted'', or what's in a [[dream]]: a scientific and practical, by Miller, Gustavus Hindman (1857–1929). [[Project Gutenberg]].<ref>https://www.gutenberg.org/ebooks/926 : Ten Thousand Dreams Interpreted</ref>
* In religion,
** The [[Bible]],
*** has 52 references to ten thousand in the [[King James Version]].<ref>http://bible.gospelcom.net/keyword/?search=ten%20thousand&version1=9&searchtype=phrase&wholewordsonly=yes , [http://bible.gospelcom.net/keyword/?search=ten%20thousands&version1=9&searchtype=phrase]</ref>
*** [[Book of Revelation|Revelation]] 5:11 ''And I beheld, and I heard the voice of many angels round about the throne and the beasts and the elders: and the number of them was ten thousand times ten thousand, and thousands of thousands''.<ref>[http://www.earlychristianwritings.com/text/revelation-kjv.html (KJV)] [http://www.earlychristianwritings.com/revelation.html The Apocalypse of John]</ref>
** [[hymn]], ''Ten thousand times ten thousand''.<ref>[http://www.hymntime.com/tch/htm/t/e/tenttent.htm]{{dead link|date=August 2022}}</ref>
** The [[Ten thousand martyrs]].<ref>[http://www.newadvent.org/cathen/09746a.htm ''The Catholic Encyclopedia'']</ref>
* In software,
** The ''[[Year 10,000 problem]]'' is the collective name for all potential software bugs that will emerge as the need to express years with five digits arises.
* In sports,
** In athletics, ''10,000 meters'', ''10 kilometers'', ''10 km'', or ''10K'' (6.2 miles) is the final standard track event in a [[long-distance track event]] and a distance in other [[racing]] events such as [[running]], [[cycle sport|cycling]], and [[skiing]].
** In bicycle racing, annual ''Tour of 10,000 Lakes Stage Race'' in [[Minneapolis]].<ref>{{cite web|first=Jeanne|last=Ulmer |url=http://www.tourof10000lakes.net/ |title=Minnesota Cycling Team –Tour of 10,000 Lakes |website=tourof10000lakes.net |date= |archive-url=https://web.archive.org/web/20050221101850/http://www.tourof10000lakes.net/ |accessdate=2022-08-04|archive-date=2005-02-21 }}</ref>
** In baseball, on July 15, 2007, the [[Philadelphia Phillies]] became the first team in American professional sports history to lose 10,000 games.

== Selected numbers in the range 10001-19999 ==
===10001 to 10999===
* '''10007''' = smallest five-digit prime number, [[twin prime]] with 10009
* '''10008''' = palindromic in bases 5 (310013<sub>5</sub>), 22 (KEK<sub>22</sub>), 28 (CLC<sub>28</sub>) and 33 (969<sub>33</sub>) and a [[Harshad number]] in bases 2, 3, 4, 5, 6, 7, 8, 10, 13, 14 and 16
* '''10009''' = twin prime with 10007
* '''10018''' = [[centered heptagonal number]]
* '''10080''' = 21st [[highly composite number]];<ref name=A002182>{{cite OEIS|A002182|Highly composite numbers}}</ref> number of minutes in a week
* '''10111''' = palindromic prime in bases 3 (111212111<sub>3</sub>) and 27 (DND<sub>27</sub>)
* '''10143''' = number of partitions of 33<ref name=A000041>{{cite OEIS|A000041|a(n) is the number of partitions of n (the partition numbers)}}</ref>
* '''10176''' = smallest (provable) generalized [[Riesel number]] in [[decimal|base 10]]: {{math|10176*10<sup>''n''</sup>-1}} is always divisible by [[covering set|one of the prime numbers]] {{math|{7, 11, 13, 37}}<ref>{{cite OEIS|A273987|Smallest Riesel number to base ''n''}}</ref>
* '''10201''' = 101<sup>2</sup>, [[palindrome|palindromic]] [[square number|square]] (in the decimal system)
* '''10206''' = [[pentagonal pyramidal number]]<ref name=A002411>{{cite OEIS|A002411|Pentagonal pyramidal numbers}}</ref>
* '''10223''' = sixth last number to be eliminated (in 2016) by [[Seventeen or Bust]] (now a sub-project of [[PrimeGrid]]) in the [[Sierpinski number|Sierpiński problem]]
* '''10239''' = [[Woodall number]]<ref>{{cite OEIS|A003261|Woodall (or Riesel) numbers: n*2^n - 1}}</ref>
* '''10252''' = [[Padovan sequence|Padovan number]]<ref name=A000931>{{cite OEIS|A000931|Padovan sequence}}</ref>
* '''10267''' = [[cuban prime]]<ref name=A002407>{{cite OEIS|A002407|Cuban primes}}</ref>
* '''10301''' = palindromic prime in bases 10 (10301<sub>10</sub>), 27 (E3E<sub>27</sub>), 30 (BDB<sub>30</sub>) and 44 (5E5<sub>44</sub>)
* '''10333''' = [[star prime]],<ref name=A083577>{{cite OEIS|A083577|Prime star numbers}}</ref> palindromic in bases 9 (15151<sub>9</sub>), 31 (ANA<sub>31</sub>) and 35 (8F8<sub>35</sub>)
* '''10368''' = 3-[[smooth number]] (2<sup>7</sup>×3<sup>4</sup>)
* '''10395''' = [[double factorial]] of 11
* '''10416''' = [[square pyramidal number]]<ref name=A000330>{{cite OEIS|A000330|Square pyramidal numbers}}</ref>
* '''10425''' = [[octahedral number]]<ref name=A005900>{{cite OEIS|A005900|Octahedral numbers}}</ref>
* '''10430''' = [[weird number]]<ref name=A006037>{{cite OEIS|A006037|Weird numbers}}</ref>
* '''10433''' = palindromic prime in base 44 (5H5<sub>44</sub>)
* '''10440''' = 144th [[triangular number]]
* '''10499''' = [[twin prime]] with 10501
* '''10500''' = [[Harshad number]] in bases 2, 3, 4, 6, 7, 8, 9, 10, 11, 15 and 16
* '''10501''' = palindromic prime in bases 10 (10501<sub>10</sub>)<ref name=A002385>{{cite OEIS|A002385|Palindromic primes: prime numbers whose decimal expansion is a palindrome}}</ref> and 58 (373<sub>58</sub>)
* '''10512''' = Harshad number in bases 2, 3, 4, 5, 7, 8, 9, 10, 13 and 16
* '''10538''' = [[10538 Overture]] is a hit single by [[Electric Light Orchestra]]
* '''10560''' = Harshad number in bases 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14 and 16
* '''10570''' = weird number<ref name=A006037/>
* '''10585''' = [[Carmichael number]]<ref name=A002997>{{cite OEIS|A002997|Carmichael numbers}}</ref>
* '''10601''' = palindromic prime in bases 10 (10601<sub>10</sub>)<ref name=A002385/> and 30 (BNB<sub>30</sub>)
* '''10609''' = 103<sup>2</sup>, [[tribonacci number]]<ref name=A000073>{{cite OEIS|A000073|Tribonacci numbers}}</ref>
* '''10631''' = palindromic prime in base 30 (BOB<sub>30</sub>)
* '''10646''' = [[ISO 10646]] is the standard for [[Unicode]]
* '''10648''' = 22<sup>3</sup>, the smallest 5-digit cube
* '''10660''' = [[tetrahedral number]]<ref name=A000292>{{cite OEIS|A000292|Tetrahedral numbers}}</ref>
* '''10671''' = [[tetranacci number]]<ref>{{cite OEIS|A000078|Tetranacci numbers}}</ref>
* '''10700''' = 10700&nbsp;kHz or 10.7&nbsp;MHz is a standard [[intermediate frequency]] for analog [[superheterodyne]] [[FM broadcast]] band receivers
* '''10744''' = [[amicable number]] with 10856
* '''10752''' = the second [[16-bit]] [[computer word|word]] of a [[TIFF]] file if the [[byte order]] marker is misunderstood
* '''10792''' = weird number<ref name=A006037/>
* '''10800''' = number of bricks used for the ''uttaravedi'' in the [[Agnicayana]] ritual
* '''10837''' = star prime<ref name=A083577/>
* '''10856''' = amicable number with 10744
* '''10905''' = [[Wedderburn&ndash;Etherington number]]<ref>{{cite OEIS|A001190|Wedderburn-Etherington numbers}}</ref>
* '''10922''' = [[repdigit]] in base 4 (2222222<sub>4</sub>), and palindromic in base 8 (25252<sub>8</sub>)
* '''10946''' = [[Fibonacci number]],<ref name=A000045>{{cite OEIS|A000045|Fibonacci numbers}}</ref> [[Markov number]]<ref name=A002559>{{cite OEIS|A002559|Markoff (or Markov) numbers}}</ref>
* '''10958''' = the smallest positive integer that cannot be represented by an equation using increasing order of integers from 1 to 9 and basic arithmetic operations<ref name="10958 problem">{{cite arXiv| last=Taneja| first=Inder| title=Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9| date=2013| eprint=1302.1479| class=math.HO}}</ref>
* '''10981''' = number of reduced trees with 22 nodes<ref>{{cite OEIS|A000014|Number of series-reduced trees with n nodes}}</ref>
* '''10989''' = reverses when multiplied by 9
* '''10990''' = weird number<ref name=A006037/>

===11000 to 11999===
* '''11025''' = 105<sup>2</sup>, the sum of the first 14 positive integer cubes
* '''11083''' = palindromic prime in 2 consecutive bases: 23 (KLK<sub>23</sub>) and 24 (J5J<sub>24</sub>)
* '''11111''' = [[Repunit]]<ref>{{cite oeis|A002275|Repunits: (10^n - 1)/9. Often denoted by R_n}}</ref>
* '''11297''' = Number of planar partitions of 16<ref name=A000219>{{cite OEIS|A000219|Number of planar partitions (or plane partitions) of n}}</ref>
* '''11298''' = [[oeis:A005043|Riordan number]]
* '''11311''' = palindromic prime in decimal<ref name=A002385/>
* '''11340''' = Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
* '''11353''' = [[star prime]]<ref name=A083577/>
* '''11368''' = pentagonal pyramidal number<ref name=A002411/>
* '''11410''' = [[weird number]]<ref name=A006037/>
* '''11411''' = palindromic prime in decimal<ref name=A002385/>
* '''11424''' = Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
* '''11440''' = square pyramidal number<ref name=A000330/>
* '''11480''' = tetrahedral number<ref name=A000292/>
* '''11574''' = approximate number of days in a billion seconds
* '''11593''' = smallest prime to start a run of nine consecutive primes of the form 4''k'' + 1
* '''11605''' = smallest integer to start a run of five consecutive integers with the same number of divisors
* '''11664''' = 3-[[smooth number]] (2<sup>4</sup>×3<sup>6</sup>).
* '''11690''' = weird number<ref name=A006037/>
* '''11717''' = twin prime with 11719
* '''11719''' = cuban prime,<ref name=A002407/> twin prime with 11717
* '''11726''' = octahedral number<ref name=A005900/>
* '''11781''' = [[triangular number]], [[hexagonal number]], [[octagonal number]], and also 58-gonal, 216-gonal, 329-gonal, 787-gonal and 3928-gonal number<ref>{{cite OEIS|A000217|Triangular numbers}}</ref><ref>{{cite OEIS|A000384|Hexagonal numbers}}</ref><ref>{{cite OEIS|A000567|Octagonal numbers}}</ref>
* '''11826''' = smallest number whose [[square (algebra)|square]] is [[pandigital number|pandigital]] without [[0 (number)|zeros]]
* '''11953''' = palindromic prime in bases 7 (46564<sub>7</sub>) and 30 (D8D<sub>30</sub>)

===12000 to 12999===
* '''12000''' = 12,000 of each of the [[twelve tribes of Israel]] made up the [[144,000]] servants of God who were 'sealed' according to the [[Book of Revelation]] in the [[New Testament]]<ref>{{bibleverse||Revelation|7:4-8|NKJV}}</ref>
* '''12048''' = [[oeis:A283877|number of non-isomorphic set-systems]] of weight 12
* '''12097''' = cuban prime<ref name=A002407/>
* '''12101''' = Friedman prime
* '''12107''' = Friedman prime
* '''12109''' = Friedman prime
* '''12110''' = weird number<ref name=A006037/>
* '''12167''' = 23<sup>3</sup>
* '''12172''' = number of triangle-free graphs on 10 vertices<ref>{{cite OEIS|A006785|Number of triangle-free graphs on n vertices}}</ref>
* '''12198''' = [[semi-meandric number]]<ref>{{cite OEIS|A000682|Semimeanders}}</ref>
* '''12251''' = number of primes <math>\leq 2^{17}</math><ref>{{cite OEIS|A007053|2=Number of primes <= 2^n}}</ref>
* '''12285''' = amicable number with 14595
* '''12287''' = [[Thabit number]]
* '''12288''' = 3-[[smooth number]] (2<sup>12</sup>×3).
* '''12289''' = [[Proth prime]], [[Pierpont prime]]
* '''12310''' = number of partitions of 34<ref name=A000041/>
* '''12321''' = 111<sup>2</sup>, [[Demlo number]], palindromic square
* '''12341''' = tetrahedral number<ref name=A000292/>
* '''12345''' = smallest whole number containing all numbers from 1 to 5
* '''12407''' = cited on [[Q.I.]] as the smallest uninteresting positive integer regarding arithmetical mathematics<ref group="notes">On the basis that it did not then (November 2011) appear in Sloane's [[On-Line Encyclopedia of Integer Sequences]]</ref><ref>{{cite episode|title=Inland Revenue|url=http://www.comedy.co.uk/guide/tv/qi/episodes/9/10/|series=QI|series-link=QI|credits=Host: [[Stephen Fry]]; Panellists: [[Alan Davies]], [[Al Murray]], [[Dara Ó Briain]] and [[Sandi Toksvig]]|network=[[BBC]]|station=[[BBC Two]]|location=[[London]], [[England]]|airdate=11 November 2011|series-no=I|number=10|minutes=19:55}}</ref>
* '''12421''' = palindromic prime<ref name=A002385/>
* '''12496''' = smallest [[sociable number]]
* '''12500''' = 2<sup>2</sup>×5<sup>5</sup><ref>{{cite OEIS|A048102|Numbers k such that if k equals Product p_i^e_i then p_i equals e_i for all i}}</ref>
* '''12529''' = square pyramidal number<ref name=A000330/>
* '''12530''' = weird number<ref name=A006037/>
* '''12542''' = there is a match puzzle called MOST + MOST = TOKYO, where each letter represents a digit. When one solves the puzzle, TOKYO = 12542, as 6271 + 6271 = 12542 <ref>{{cite web | url=https://www.mathsisfun.com/puzzles/most-most-solution.html | title=MOST+MOST Puzzle - Solution }}</ref>
* '''12670''' = weird number<ref name=A006037/>
* '''12721''' = palindromic prime<ref name=A002385/>
* '''12726''' = [[Ruth–Aaron pair]]
* '''12758''' = most significant Number that cannot be expressed as the sum of distinct cubes
* '''12765''' = Finnish [[internet meme]]; the code accompanying no-prize caps in a [[Coca-Cola]] bottle top prize contest. Often spelled out ''yksi'' – ''kaksi'' – ''seitsemän'' – ''kuusi'' – ''viisi'', ''ei voittoa'', "one – two – seven – six – five, no prize".
* '''12769''' = 113<sup>2</sup>, palindromic in base 3
* '''12821''' = palindromic prime<ref name=A002385/>

===13000 to 13999===
* '''13122''' = 3-[[smooth number]] (2×3<sup>8</sup>).
* '''13131''' = octahedral number<ref name=A005900/>
* '''13244''' = tetrahedral number<ref name=A000292/>
* '''13267''' = cuban prime<ref name=A002407/>
* '''13331''' = palindromic prime<ref name=A002385/>
* '''13370''' = [[weird number]]<ref name=A006037/>
* '''13510''' = weird number<ref name=A006037/>
* '''13581''' = Padovan number<ref name=A000931/>
* '''13648''' = number of 20-bead necklaces (turning over is allowed) where complements are equivalent<ref>{{cite OEIS|A000011|Number of n-bead necklaces (turning over is allowed) where complements are equivalent}}</ref>
* '''13669''' = cuban prime<ref name=A002407/>
* '''13685''' = square pyramidal number<ref name=A000330/>
* '''13790''' = weird number<ref name=A006037/>
* '''13792''' = largest number that is not a [[Waring's problem|sum of 16 fourth powers]]
* '''13798''' = number of 19-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref>{{cite OEIS|A000013|Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed}}</ref>
* '''13820''' = [[meandric number]], [[open meandric number]]
* '''13824''' = 24<sup>3</sup>
* '''13831''' = palindromic prime<ref name=A002385/>
* '''13860''' = [[Pell number]]<ref>{{cite OEIS|A000129|Pell numbers}}</ref>
* '''13930''' = weird number<ref name=A006037/>
* '''13931''' = palindromic prime
* '''13950''' = pentagonal pyramidal number<ref name=A002411/>

===14000 to 14999===
* '''14190''' = tetrahedral number<ref name=A000292/>
* '''14200''' = number of [[Eight queens puzzle|n-Queens Problem]] solutions for n – 12
* '''14341''' = palindromic prime<ref name=A002385/>
* '''14400''' = 120<sup>2</sup>, the sum of the first 15 positive integers cubes
* '''14595''' = amicable number with 12285
* '''14641''' = 121<sup>2</sup> = 11<sup>4</sup>, palindromic square (base 10)
* '''14644''' = octahedral number<ref name=A005900/>
* '''14701''' = [[Markov number]]<ref name=A002559/>
* '''14741''' = palindromic prime<ref name=A002385/>
* '''14770''' = [[weird number]]<ref name=A006037/>
* '''14883''' = number of partitions of 35<ref name=A000041/>
* '''14884''' = 122<sup>2</sup>, palindromic square in base 11
* '''14910''' = square pyramidal number<ref name=A000330/>

===15000 to 15999===
* '''15015''' = smallest odd and [[square-free]] [[abundant number]]<ref>{{cite OEIS|A112643|Odd and square-free abundant numbers}}</ref>
* '''15120''' = 22nd [[highly composite number]];<ref>{{Cite web |title=A002182 - OEIS |url=https://oeis.org/A002182 |access-date=2024-11-28 |website=oeis.org}}</ref> smallest number with exactly 80 factors<ref name=A002182/>
* '''15180''' = tetrahedral number<ref name=A000292/>
* '''15376''' = 124<sup>2</sup>, pentagonal pyramidal number<ref name=A002411/>
* '''15387''' = Zeisel number<ref>{{cite OEIS|A051015|Zeisel numbers}}</ref>
* '''15451''' = palindromic prime<ref name=A002385/>
* '''15511''' = [[Motzkin prime]]<ref>{{cite OEIS|A001006|Motzkin numbers}}</ref>
* '''15551''' = palindromic prime<ref name=A002385/>
* '''15552''' = 3-[[smooth number]] (2<sup>6</sup>×3<sup>5</sup>) 
* '''15610''' = [[weird number]]<ref name=A006037/>
* '''15625''' = 125<sup>2</sup> = 25<sup>3</sup> = 5<sup>6</sup>
* '''15629''' = Friedman prime
* '''15640''' = initial number of only four-, five-, or six-digit century to contain two [[prime quadruple]]s<ref>{{cite OEIS|A007530|Prime quadruples: numbers ''k'' such that ''k'', ''k''+2, ''k''+6, ''k''+8 are all prime}}</ref> (in between which lies a record [[prime gap]] of 43<ref name="TableGaps">{{cite web|url=https://primes.utm.edu/notes/GapsTable.html|title=Table of Known Maximal Gaps|publisher=Prime Pages}}</ref>)
* '''15661''' = Friedman prime
* '''15667''' = second nice Friedman prime
* '''15679''' = Friedman prime
* '''15793''' – Number of parallelogram polyominoes with 13 cells<ref>{{cite OEIS|A006958|Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused)}}</ref>
* '''15841''' = Carmichael number<ref name=A002997/>
* '''15876''' = 126<sup>2</sup>, palindromic square in base 5
* '''15890''' = weird number<ref name=A006037/>

===16000 to 16999===
* '''16030''' = weird number<ref name=A006037/>
* '''16057''' = the following [[prime sextuplet]] after 97, 16061, 16063, 16067, 16069, and 16073
* '''16061''' = palindromic prime<ref name=A002385/>
* '''16072''' = logarithmic number<ref>{{cite OEIS|A002104|Logarithmic numbers}}</ref>
* '''16091''' = [[strobogrammatic prime]]<ref name=A007597>{{cite OEIS|A007597|Strobogrammatic primes}}</ref>
* '''16206''' = square pyramidal number<ref name=A000330/>
* '''16269''' = octahedral number<ref name=A005900/>
* '''16310''' = weird number<ref name=A006037/>
* '''16361''' = palindromic prime<ref name=A002385/>
* '''16381''' = Friedman prime
* '''16384''' = 128<sup>2</sup> = 2<sup>14</sup>, palindromic in base 15
* '''16447''' = third nice Friedman prime
* '''16561''' = palindromic prime<ref name=A002385/>
* '''16580''' = [[Leyland number]]<ref name=A076980>{{cite OEIS|A076980|Leyland numbers}}</ref> using 2 & 14 (2<sup>14</sup> + 14<sup>2</sup>)
* '''16651''' = cuban prime<ref name=A002407/>
* '''16661''' = palindromic prime<ref name=A002385/>
* '''16730''' = [[weird number]]<ref name=A006037/>
* '''16759''' = Friedman prime
* '''16796''' = [[Catalan number]]<ref>{{cite OEIS|A000108|Catalan numbers}}</ref>
* '''[[16807 (number)|16807]]''' = 7<sup>5</sup>
* '''16843''' = smallest [[Wolstenholme prime]]<ref>{{cite OEIS|A088164|Wolstenholme primes}}</ref>
* '''16870''' = weird number<ref name=A006037/>
* '''16879''' = Friedman prime
* '''16896''' = pentagonal pyramidal number<ref name=A002411/>
* '''16999''' = number of [[partially ordered set]] with 8 unlabeled elements<ref>{{cite OEIS|A000112| Number of partially ordered sets (posets) with n unlabeled elements}}</ref>

===17000 to 17999===
* '''17073''' = number of free 11-ominoes
* '''17163''' = the most significant number that is not the sum of the squares of distinct primes
* '''17272''' = weird number<ref name=A006037/>
* '''17296''' = amicable number with 18416<ref>{{cite book |title=Number Story: From Counting to Cryptography |url=https://archive.org/details/numberstoryfromc00higg_612 |url-access=limited |last=Higgins |first=Peter |year=2008 |publisher=Copernicus |location=New York |isbn=978-1-84800-000-1 |page=[https://archive.org/details/numberstoryfromc00higg_612/page/n69 61] }}</ref>
* '''17344''' = [[Kaprekar number]]<ref>{{cite OEIS|A006886|Kaprekar numbers}}</ref>
* '''17389''' = 2000th prime number
* '''17471''' = palindromic prime<ref name=A002385/>
* '''17496''' = 3-[[smooth number]] (2<sup>3</sup>×3<sup>7</sup>)
* '''17570''' = weird number<ref name=A006037/>
* '''17575''' = square pyramidal number<ref name=A000330/>
* '''17576''' = 26<sup>3</sup>, palindromic in base 5
* '''17689''' = 133<sup>2</sup>, palindromic in base 11
* '''17711''' = [[Fibonacci number]]<ref name=A000045/>
* '''17971''' = palindromic prime<ref name=A002385/>
* '''17977''' = number of partitions of 36<ref name=A000041/>
* '''17990''' = [[weird number]]<ref name=A006037/>
* '''17991''' = Padovan number<ref name=A000931/>

===18000 to 18999===
* '''18010''' = octahedral number<ref name=A005900/>
* '''18181''' = palindromic prime,<ref name=A002385/> strobogrammatic prime<ref name=A007597/>
* '''18334''' = number of planar partitions of 17<ref name=A000219/>
* '''18410''' = weird number<ref name=A006037/>
* '''18416''' = amicable number with 17296<ref>Higgins, ibid.</ref>
* '''18432''' = 3-[[smooth number]] (2<sup>11</sup>×3<sup>2</sup>).
* '''18481''' = palindromic prime<ref name=A002385/>
* '''18496''' = 136<sup>2</sup>, the sum of the first 16 positive integers cubes
* '''18600''' = [[harmonic divisor number]]<ref name=A001599>{{cite OEIS|A001599|Harmonic or Ore numbers}}</ref>
* '''18620''' = harmonic divisor number<ref name=A001599/>
* '''18785''' = [[Leyland number]]<ref name=A076980/> using 4 & 7 (4<sup>7</sup> + 4<sup>7</sup>)
* '''18830''' = weird number<ref name=A006037/>
* '''18970''' = weird number<ref name=A006037/>

===19000 to 19999===
* '''19019''' = square pyramidal number<ref name=A000330/>
* '''19141''' = [[unique prime]] in [[Duodecimal|base 12]]
* '''19302''' = Number of ways to partition {1,2,3,4,5,6,7} and then partition each cell (block) into subcells<ref>{{cite OEIS|A000258|Expansion of e.g.f. exp(exp(exp(x)-1)-1)}}</ref>
* '''19320''' = number of trees with 16 unlabeled nodes<ref>{{cite OEIS|A000055|Number of trees with n unlabeled nodes}}</ref>
* '''19390''' = weird number<ref name=A006037/>
* '''19391''' = palindromic prime<ref name=A002385/>
* '''19417''' = [[prime sextuplet]], along with 19421, 19423, 19427, 19429, and 19433
* '''19441''' = cuban prime<ref name=A002407/>
* '''19455''' = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
* '''19513''' = tribonacci number<ref name=A000073/>
* '''19531''' = [[repunit prime]] in base 5
* '''19600''' = 140<sup>2</sup>, tetrahedral number
* '''19601'''/13860 ≈ [[square root of 2|√2]]
* '''19609''' = first [[prime number|prime]] followed by a [[prime gap]] of over fifty<ref name="TableGaps"/>
* '''19670''' = [[weird number]]<ref name=A006037/>
* '''19683''' = 27<sup>3</sup>, 3<sup>9</sup>. Furthermore, there is a math puzzle regarding the word logic, such that LOGIC = (L+O+G+I+C)<sup>3</sup>. The solution to this is (1+9+6+8+3) (1+9+6+8+3) (1+9+6+8+3), which is (27)(27)(27), which equals to 19683. This is one of two digits for which this works, although the other solution has O and I are the same digit: 17576, as (1+7+5+7+6) (1+7+5+7+6) (1+7+5+7+6) = (26)(26)(26) = 17576.<ref>{{cite web | url=https://www.mathsisfun.com/puzzles/algebra-logic-2-solution.htmlsolution | title=Algebra LOGIC 2 Puzzle - Solution }}</ref>
* '''19729''' is the number of digits in <math>2\uparrow\uparrow5</math>([[Tetration]])
* '''19739''' = fourth nice Friedman prime
* '''19871''' = octahedral number<ref name=A005900/>
* '''19891''' = palindromic prime<ref name=A002385/>
* '''19927''' = cuban prime<ref name=A002407/>
* '''19991''' = palindromic prime<ref name=A002385/>

===Primes===
There are [[1033 (number)|1033]] prime numbers between 10000 and 20000, a count that is itself prime. It is [[196 (number)|196]] prime numbers less than the number of primes between 0 and 10000 ([[1229 (number)|1229]], also prime).

==See also==
* {{Portal-inline|Mathematics}}
* [[10,000 (disambiguation)]]

==Notes==
{{Reflist|group="notes"}}

==References==
{{reflist}}

==External links==
{{Commons category}}
{{Wiktionary|ten thousand}}

{{Integers|10}}

[[Category:Integers|10000]]