115
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 144
- Proper Divisor Sum (Aliquot Sum)
- 29
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 88
- Möbius Function
- 1
- Radical
- 115
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 33
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- einshundertfünfzehn· ordinal: einshundertfünfzehnste
- English
- one hundred fifteen· ordinal: one hundred fifteenth
- Spanish
- ciento quince· ordinal: 115º
- French
- cent quinze· ordinal: cent quinzième
- Italian
- centoquindici· ordinal: 115º
- Latin
- centum quindecim· ordinal: 115.
- Portuguese
- cento e quinze· ordinal: 115º
Appears in sequences
- Odious numbers: numbers with an odd number of 1's in their binary expansion.at n=57A000069
- Number of unlabeled rooted trees with n nodes (or connected functions with a fixed point).at n=8A000081
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=44A000115
- One-half the number of permutations of length n with exactly 1 rising or falling successions.at n=6A000130
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=36A000134
- A Beatty sequence: floor(n*(e-1)).at n=66A000210
- Numbers where total number of 1-bits in the exponents of their prime factorization is even; a 2-way classification of integers: complement of A000028.at n=57A000379
- Numbers that are the sum of 3 but no fewer nonzero squares.at n=48A000419
- n written in base where place values are positive cubes.at n=40A000433
- 1 together with products of 2 or more distinct primes.at n=42A000469
- Number of steps to reach 1 in sequence A000546.at n=37A000547
- Number of steps to reach 1 in sequence A000546.at n=42A000547
- A Beatty sequence: [ n(e+1) ].at n=30A000572
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n.at n=28A000606
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n.at n=27A000606
- Number of alkyls C_{n+15} H_{2n+10} (Phenan) with n carbon atoms.at n=3A000649
- Total number of 1's in binary expansions of 0, ..., n.at n=44A000788
- Numbers beginning with a vowel in English.at n=29A000852
- Numbers beginning with letter 'o' in English.at n=16A000865
- Number of inequivalent ways of placing n nonattacking rooks on n X n board up to rotations and reflections of the board.at n=5A000903