16807 (number)
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16807 is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal n ...
following 16806 and preceding 16808. __NOTOC__


In mathematics

As a number of the form ''n''''n'' − 2 (16807 = 75), it can be applied in
Cayley's formula In mathematics, Cayley's formula is a result in graph theory named after Arthur Cayley. It states that for every positive integer n, the number of trees on n labeled vertices is n^. The formula equivalently counts the number of spanning trees ...
to count the number of
trees In botany, a tree is a perennial plant with an elongated stem, or trunk, usually supporting branches and leaves. In some usages, the definition of a tree may be narrower, including only woody plants with secondary growth, plants that are u ...
with seven labeled nodes.


In other fields

* Several authors have suggested a
Lehmer random number generator The Lehmer random number generator (named after D. H. Lehmer), sometimes also referred to as the Park–Miller random number generator (after Stephen K. Park and Keith W. Miller), is a type of linear congruential generator (LCG) that oper ...
: :: X_ = 16807 \cdot X_k~~\bmod~~2147483647


References

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External links


16807 : facts & properties
16807