Samiksha Jaiswal (Editor)

115 (number)

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115
  
116 →

Factorization
  
5 × 23

Roman numeral
  
CXV

Cardinal
  
one hundred fifteen

Divisors
  
1, 5, 23, 115

Ordinal
  
115th (one hundred and fifteenth)

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

Contents

In mathematics

115 has a square sum of divisors:

σ ( 115 ) = 1 + 5 + 23 + 115 = 144 = 12 2 .

It is unknown whether the set of numbers with this property is infinite, but this would follow from the truth of the Bunyakovsky conjecture on polynomials with infinitely many prime values.

There are 115 different rooted trees with exactly eight nodes, 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, and 115 solutions to the stamp folding problem for a strip of seven stamps.

115 is also a heptagonal pyramidal number. 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.

In science

  • The atomic number of the element Moscovium
  • In other fields

    115 is also the fire service emergency number in Mauritius and Italy, and the ambulance emergency number in Vietnam.

    References

    115 (number) Wikipedia