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16,807

From Wikipedia, the free encyclopedia
Natural number
← 168061680716808 →
Cardinalsixteen thousand eight hundred seven
Ordinal16807th
(sixteen thousand eight hundred seventh)
Factorization75
Greek numeralMα{\displaystyle {\stackrel {\alpha }{\mathrm {M} }}}͵Ϛωζ´
Roman numeralXVMDCCCVII,xvmdcccvii
Binary1000001101001112
Ternary2120011113
Senary2054516
Octal406478
Duodecimal988712
Hexadecimal41A716

16807 is thenatural number following 16806 and preceding 16808.

In mathematics

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As a number of the formnn − 2 (16807 = 75), it can be applied inCayley's formula to count the number oftrees with seven labeled nodes.[1]

In other fields

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

References

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  1. ^Sloane, N. J. A. (ed.)."Sequence A000272 (Number of trees on n labeled nodes: n^(n-2))".TheOn-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.

External links

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