415
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 504
- Proper Divisor Sum (Aliquot Sum)
- 89
- 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
- 328
- Möbius Function
- 1
- Radical
- 415
- 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
- 133
- 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
- vierhundertfünfzehn· ordinal: vierhundertfünfzehnste
- English
- four hundred fifteen· ordinal: four hundred fifteenth
- Spanish
- cuatrocientos quince· ordinal: 415º
- French
- quatre cent quinze· ordinal: quatre cent quinzième
- Italian
- quattrocentoquindici· ordinal: 415º
- Latin
- quadringenti quindecim· ordinal: 415.
- Portuguese
- quatrocentos e quinze· ordinal: 415º
Appears in sequences
- Numbers beginning with letter 'f' in English.at n=39A000867
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=19A001682
- Primes multiplied by 5.at n=22A001750
- Logarithmic numbers.at n=6A002104
- Numbers k such that 9*2^k - 1 is prime.at n=14A002236
- Numbers k such that 7*4^k + 1 is prime.at n=18A002255
- A generalized partition function.at n=9A002600
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=23A002644
- Number of bipartite partitions.at n=5A002765
- Numbers that are the sum of 3 positive cubes.at n=55A003072
- Number of partitions of n into parts 5k+1 or 5k+4.at n=41A003114
- Expansion of (1 + x - x^5) / (1 - x)^3.at n=24A004120
- Primes written in base 8.at n=56A004682
- a(n) = 8*n + 7. Or, numbers whose binary expansion ends in 111.at n=51A004771
- Numbers k such that 2*(2k-3)!/(k!*(k-1)!) is an integer.at n=41A004782
- Numbers k such that 3!*(2k-4)!/(k!*(k-1)!) is an integer.at n=51A004783
- From solution to a difference equation.at n=3A005924
- Number of self-avoiding walks of any length from NW to SW corners of a grid or lattice with n rows and 3 columns.at n=6A006189
- Number of n-node trees not determined by their spectra.at n=12A006610
- Tower of Hanoi with 5 pegs.at n=36A007665