9801 (number)

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9801 (nine thousand eight hundred [and] one) is the natural number following 9800 and preceding 9802.

In mathematics

9801 is most notable for being the third, and only 4-digit square pentagonal number,[1][2] since 9801 is a square number, which can be written as: 992, and it is also a pentagonal number, since it can also be written as: 81⋅(3⋅81−1)2=81⋅2422.[3] 9801 is also the number that is below 10,000 which are integral multiples of their reversals.Template:Efn The only other number which has this property is 8712.[4][5][6] 9801 is the sixth number such as the binomial coefficientTemplate:Efn is a perfect square.[7]

Notes

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References

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