16,807

Template:Infobox number 16807 is the natural number following 16806 and preceding 16808.

In mathematics

As a number of the form $n^{n-2}$ (16807 = 7⁵), it can be applied in Cayley's formula to count the number of trees with seven labeled nodes.

The powers of seven, including this one, feature in problem 79 from the Rhind Mathematical Papyrus, from ancient Egypt circa 1650 BC. It resembles the modern English riddle As I was going to St Ives, which compounds powers of seven up to $7^4$ kittens, but reaching one more step, $7^5=16807$ hekat (an ancient Egyptian unit of measurement for grain). Another puzzle of the same type, with 16807 knives, occurs in Fibonacci's Liber Abaci.

In other fields

• Several authors have suggested a Lehmer random number generator:

$X_{k+1}=16807\cdot X_{k}mod2147483647$

External links

• 16807 : facts & properties