15592
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 29250
- Proper Divisor Sum (Aliquot Sum)
- 13658
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7792
- Möbius Function
- 0
- Radical
- 3898
- Omega Function (Ω)
- 4
- 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
- 146
- 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
- Related to sorting procedure studied by West: number of permutations that are both sorted (i.e., obtainable as output of the sorting procedure) and one-stack sortable.at n=12A027432
- Multiplicity of highest weight (or singular) vectors associated with character chi_14 of Monster module.at n=44A034402
- Number of 3 X n nonnegative integer matrices with all column sums 3, up to row and column permutation.at n=10A058407
- Interprimes which are of the form s*prime, s=8.at n=24A075283
- Triangle T(n, k) read by rows; given by [0, 1, 0, 1, 0, 1, ...] DELTA [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where DELTA is Deléham's operator defined in A084938.at n=26A085845
- Let pi be an unrestricted partition of n with the summands written in binary notation. a(n) is the number of such partitions whose binary representation has an odd number of binary ones.at n=39A102437
- Number of fixed 3D piled polyominoes: polycubes with fixed orientation, with no cubes "sitting on air".at n=7A113174
- Number of n-node triangulations of the triple torus S_3 in which every node has degree >= 7.at n=2A129042
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 1, 0), (0, 1, 1), (1, 0, -1)}.at n=10A148343
- Numerators of fractions with the same position in A020652/A038567 and A182972/A182973.at n=15A182975
- Number of nX3 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=7A201190
- T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=47A201195
- T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=52A201195
- Number of minimal coprime labelings for the complete bipartite graph K_{n,n}.at n=38A213806
- Number of (2+1) X (n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal.at n=9A232591
- Expansion of Product_{k>=0} 1/(1-x^(4*k+1))^2.at n=50A261629