15884
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 32004
- Proper Divisor Sum (Aliquot Sum)
- 16120
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6840
- Möbius Function
- 0
- Radical
- 418
- 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
- yes
- 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 walks on cubic lattice.at n=43A005570
- Dodecahedral surface numbers: a(0)=0, a(1)=1, a(2)=20, thereafter 2*((3*n-7)^2 + 21).at n=32A007589
- Coordination sequence for Ni2In, Position Ni2.at n=38A009942
- a(n) = dot_product(1,2,...,n)*(6,7,...,n,1,2,3,4,5).at n=32A026046
- a(n) = T(2n-1,n), where T is the array defined in A026105.at n=5A026111
- Expansion of Product_{m>=1} (1+q^m)^(4*m).at n=9A027906
- a(n) = A048141(3*n).at n=51A051061
- Numbers k such that (k+3, k+5, k+17, k+257, k+65537) are all primes.at n=16A063799
- Numbers n for which there are exactly ten k such that n = k + reverse(k).at n=8A072434
- Sum_{k=1..n} (k(k+1))^2/2.at n=9A086755
- Number of partitions of n^2 into squares not less than n.at n=36A093116
- Number of partitions of n with at most two even parts.at n=43A096778
- Numbers n such that p1=2n+3, p2=4n+5, p3=6n+7 and p4=8n+9 are all prime.at n=12A105653
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A127377/A127378.at n=11A127383
- 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, 0), (-1, 1, 0), (0, 1, -1), (1, 0, 1)}.at n=9A148822
- 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, 0), (-1, 0, -1), (0, 1, 1), (1, -1, 0), (1, 0, 0)}.at n=8A150016
- Sum of a positive square and a positive cube in at least three ways.at n=28A171385
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208930; see the Formula section.at n=50A208930
- Number of nX1 0..1 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope.at n=19A222955
- Number of conjugacy classes in Chevalley group G_2(q) as q runs through the prime powers.at n=41A225929