View source for 16,807

{{Infobox number
| number = 16807
}}
'''16807''' is the [[Natural number|natural number]] following 16806 and preceding 16808.
__NOTOC__

==In mathematics==
As a number of the form ''n''<sup>''n''&nbsp;&minus;&nbsp;2</sup> (16807&nbsp;=&nbsp;7<sup>5</sup>), it can be applied in [[Cayley's formula]] to count the number of [[Tree (graph theory)|trees]] with seven labeled nodes.<ref>{{Cite OEIS|A000272|name=Number of trees on n labeled nodes: n^(n-2)}}</ref>

==In other fields==
* Several authors have suggested a [[Lehmer random number generator]]:<ref>{{cite journal | author=Lewis, P.A.W. | author2=Goodman A.S. | author3=Miller J.M. | name-list-style=amp |title=A pseudo-random number generator for the system/360 |journal=IBM Systems Journal |year=1969 |volume=8 | issue=2 |pages=136–143| doi=10.1147/sj.82.0136 }}</ref><ref>{{cite journal
 | last = Schrage | first = Linus
 | doi = 10.1145/355826.355828
 | issue = 2
 | journal = ACM Transactions on Mathematical Software
 | pages = 132–138
 | title = A More Portable Fortran Random Number Generator
 | volume = 5
 | year = 1979| citeseerx = 10.1.1.470.6958
 | s2cid = 14090729
 }}</ref><ref>{{cite journal |author1=Park, S.K.  |author2=Miller, K.W. |title=Random Number Generators: Good Ones Are Hard To Find |journal=[[Communications of the ACM]] |year=1988 |volume=31 |issue=10 |pages=1192–1201 |url=http://www.firstpr.com.au/dsp/rand31/p1192-park.pdf |doi=10.1145/63039.63042|s2cid=207575300 }}</ref>
:: <math>X_{k+1} = 16807 \cdot X_k~~\bmod~~2147483647</math>

== References ==
{{reflist}}

==External links==
* [http://www.numbersaplenty.com/16807 16807 : facts & properties]

[[Category:Integers|16807]]

{{Sourceattribution|16,807}}