16,807 Explained

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.^[1]

In other fields

• Several authors have suggested a Lehmer random number generator:^{[2] [3] [4]}

X _{k+1} = 16807 ⋅ X _{k~~\bmod~~2147483647}

External links

• 16807 : facts & properties

Notes and References

1. Number of trees on n labeled nodes: n^(n-2).
2. Lewis, P.A.W. . Goodman A.S. . Miller J.M. . amp . A pseudo-random number generator for the system/360 . IBM Systems Journal . 1969 . 8 . 2 . 136–143. 10.1147/sj.82.0136 .
3. Schrage . Linus . 10.1145/355826.355828 . 2 . ACM Transactions on Mathematical Software . 132–138 . A More Portable Fortran Random Number Generator . 5 . 1979. 10.1.1.470.6958 . 14090729 .
4. Park, S.K. . Miller, K.W. . Random Number Generators: Good Ones Are Hard To Find . . 1988 . 31 . 10 . 1192–1201 . 10.1145/63039.63042. 207575300 .