15880
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 35820
- Proper Divisor Sum (Aliquot Sum)
- 19940
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- 0
- Radical
- 3970
- Omega Function (Ω)
- 5
- 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
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of stacks, or planar partitions of n; also weakly unimodal compositions of n.at n=21A001523
- Even heptagonal numbers (A000566).at n=40A014640
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 63.at n=23A031561
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 63.at n=1A031741
- Numerators of continued fraction convergents to sqrt(176).at n=5A041324
- Let f(x)=(largest digit of x)^(smallest digit of x) + x (A097385). Sequence gives numbers n such that f(n) and f(n+1) are both prime.at n=36A097387
- Bisection of A001523.at n=10A100506
- a(n) = n*(10*n-3).at n=40A195018
- Triangle of sums of the first k n-th powers multiplied by binomial(n,k), read by rows.at n=24A215078
- Least n-gonal number greater than 1 such that sigma(n) is also n-gonal.at n=4A259240
- Number of length n arrays of permutations of 0..n-1 with each element moved by -7 to 7 places and every three consecutive elements having its maximum within 4 of its minimum.at n=12A263702
- Solution of the complementary equation a(n) = 2*a(n-1) - a(n-2) + b(n-1) + n, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=34A294872
- Number of integer partitions of n in which the even parts appear as often at even positions as at odd positions.at n=41A300787
- Number of n X 7 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero.at n=9A303718
- Number of normal patterns contiguously matched by integer partitions of n.at n=21A335838