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16,807

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(Redirected from 16807 (number)) Natural number
← 16806 16807 16808 →
0 10k 20k 30k 40k 50k 60k 70k 80k 90k
Cardinalsixteen thousand eight hundred seven
Ordinal16807th
(sixteen thousand eight hundred seventh)
Factorization7
Greek numeral M α {\displaystyle {\stackrel {\alpha }{\mathrm {M} }}} ͵Ϛωζ´
Roman numeralXVMDCCCVII
Binary1000001101001112
Ternary2120011113
Senary2054516
Octal406478
Duodecimal988712
Hexadecimal41A716

16807 is the natural number following 16806 and preceding 16808.


In mathematics

As a number of the form n (16807 = 7), it can be applied in Cayley's formula to count the number of trees with seven labeled nodes.

In other fields

X k + 1 = 16807 X k     mod     2147483647 {\displaystyle X_{k+1}=16807\cdot X_{k}~~{\bmod {~}}~2147483647}

References

  1. Sloane, N. J. A. (ed.). "Sequence A000272 (Number of trees on n labeled nodes: n^(n-2))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Lewis, P.A.W.; Goodman A.S. & Miller J.M. (1969). "A pseudo-random number generator for the system/360". IBM Systems Journal. 8 (2): 136–143. doi:10.1147/sj.82.0136.
  3. Schrage, Linus (1979). "A More Portable Fortran Random Number Generator". ACM Transactions on Mathematical Software. 5 (2): 132–138. CiteSeerX 10.1.1.470.6958. doi:10.1145/355826.355828. S2CID 14090729.
  4. Park, S.K.; Miller, K.W. (1988). "Random Number Generators: Good Ones Are Hard To Find" (PDF). Communications of the ACM. 31 (10): 1192–1201. doi:10.1145/63039.63042. S2CID 207575300.

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