15015
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 32256
- Proper Divisor Sum (Aliquot Sum)
- 17241
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- -1
- Radical
- 15015
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- 102
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
Appears in sequences
- a(n) = 5*binomial(n, 6).at n=14A000910
- Degrees of irreducible representations of alternating group A_13.at n=51A003868
- Degrees of irreducible representations of symmetric group S_13.at n=92A003877
- Degrees of irreducible representations of symmetric group S_13.at n=93A003877
- Degrees of irreducible representations of Suzuki group Suz.at n=12A003902
- Degrees of irreducible representations of Suzuki group Suz.at n=13A003902
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=32A005231
- Odd primitive abundant numbers.at n=23A006038
- Denominator of (2n+1)(2n+2) B_{2n}, where B_n are the Bernoulli numbers. Also denominators of the asymptotic expansion of the polygamma function psi'''(z).at n=31A006956
- a(n) = prime(n)*...*prime(m), the least product of consecutive primes which is non-deficient.at n=1A007702
- a(n) = prime(n)*...*prime(m), the least product of consecutive primes which is abundant.at n=1A007741
- Triangle of coefficients of Legendre polynomials P_n (x).at n=37A008316
- a(n) = (n-dimensional partitions of 6) + C(n,4) + C(n,3).at n=12A008780
- Smallest order of cyclotomic polynomial containing n or -n as a coefficient.at n=21A013594
- a(n) = n*(17*n + 1)/2.at n=42A022275
- Positive numbers k such that k and 3*k are anagrams in base 7 (written in base 7).at n=20A023069
- Denominator of |Bernoulli(2n+2)| - |Bernoulli(2n)|.at n=5A029765
- Third derivative of Catalan generating function/3!.at n=4A030060
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black.at n=41A032279
- Odd numbers in the triangle of denominators in Leibniz's Harmonic Triangle.at n=21A046200