115 (number) explained

Number:	115
Divisor:	1, 5, 23, 115

115 (one hundred [and] fifteen) is the natural number following 114 and preceding 116.

In mathematics

115 has a square sum of divisors:^[1]

\sigma( 115 ) =1+5+23+115=144=12 ^{2.}

There are 115 different rooted trees with exactly eight nodes,^[2] 115 inequivalent ways of placing six rooks on a 6 × 6 chess board in such a way that no two of the rooks attack each other,^[3] and 115 solutions to the stamp folding problem for a strip of seven stamps.^[4]

115 is also a heptagonal pyramidal number.^[5] The 115th Woodall number,

115 ⋅ 2 ^{115} -1=4 776 913 109 852 041 418 248 056 622 882 488 319 , is a prime number.^[6] 115 is the sum of the first five heptagonal numbers.

In science

115 is the atomic number of moscovium.

In sport

115 is the number of alleged Premier League FFP breaches by Manchester City.

See also

• 115 (disambiguation)

References

Element 115 call of duty

Notes and References

1. Numbers n such that sum of divisors of n is a square.
2. Number of rooted trees with n nodes (or connected functions with a fixed point).
3. Number of inequivalent ways of placing n nonattacking rooks on n X n board.
4. Number of ways of folding a strip of n rectangular stamps.
5. Heptagonal (or 7-gonal) pyramidal numbers: n*(n+1)*(5*n-2)/6.
6. Numbers n such that the Woodall number n*2^n - 1 is prime.