15882
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 31776
- Proper Divisor Sum (Aliquot Sum)
- 15894
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5292
- Möbius Function
- -1
- Radical
- 15882
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 53
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=33A014203
- Positive numbers k such that k and 5*k are anagrams in base 9 (written in base 9).at n=12A023082
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 42.at n=5A031720
- Numbers which are the sum of their proper divisors containing the digit 4.at n=28A059463
- Number of isomorphism classes of simple quadrangulations of the sphere having n vertices and n-2 faces, with orientation-reversing isomorphisms permitted.at n=10A113201
- a(n) = - a(n-1) + a(n-3) + (a(n-1) - a(n-2))^2 + (a(n-2) - a(n-3))^2.at n=11A122592
- a(n) = 36*n^2 + 6.at n=20A158479
- G.f.: A(q) = exp( Sum_{n>=1} A002129(n) * 3*A038500(n) * q^n/n ).at n=19A161804
- A trisection of A161804: a(n) = A161804(3n+1) for n>=0.at n=6A161806
- Number of (n+1)X(1+1) 0..3 arrays with the upper median of every 2X2 subblock equal.at n=2A237069
- Number of (n+1)X(3+1) 0..3 arrays with the upper median of every 2X2 subblock equal.at n=0A237071
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median of every 2X2 subblock equal.at n=3A237076
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median of every 2X2 subblock equal.at n=5A237076
- Number of partitions p of n such that the number of distinct parts is a part and max(p) - min(p) is not a part.at n=42A241389
- Cardinality of Image^inf({ 2 }) under repeated base-n zero-split doubling.at n=24A254638
- a(n) = 12*n^2 + 10*n - 30.at n=36A277982
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 267", based on the 5-celled von Neumann neighborhood.at n=26A280461
- Numbers k such that A019320(k) is in A217468.at n=30A297412
- Numbers k such that 2^m == 2 (mod m*(m-1)), where m=A019320(k).at n=41A297413