10516
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 9644
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4760
- Möbius Function
- 0
- Radical
- 5258
- Omega Function (Ω)
- 4
- 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
- 55
- 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 words of length n in a certain language.at n=45A005819
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=23A020435
- Expansion of 1/((1-x)^4*(1-x^2)^2).at n=18A028346
- Number of partitions of n into parts not of the form 25k, 25k+12 or 25k-12. Also number of partitions with at most 11 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=34A036011
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=32A063362
- (-1)^n * coefficient of x^n in 1/x-1/(1-eta(x)) power series.at n=25A082531
- Index of first occurrence of n in A091853, or 0 if no such number exists.at n=32A091854
- Least k such that k * M(n) * M(n+1) + 1 is prime where M(n) = A000668(n).at n=21A098917
- Expansion of (1-z-sqrt(1-4z))/(1-4z)^2.at n=5A104598
- 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, 1, -1), (-1, 1, 1), (1, 0, 0)}.at n=11A148054
- 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, 0), (1, -1, 1), (1, 0, -1)}.at n=9A148399
- 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, 1, 1), (1, 0, -1), (1, 0, 1)}.at n=9A148731
- a(n) = Hermite(n,11).at n=3A158535
- The 3rd Hermite Polynomial evaluated at n: H_3(n) = 8*n^3 - 12*n.at n=11A163322
- Number of nX2 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=8A201095
- T(n,k)=Number of nXk 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=46A201101
- Number of (w,x,y,z) with all terms in {1,...,n} and 3w=x+y+z+n+2.at n=34A212252
- Number of partitions of n such that if the length is k then k is not a part.at n=34A229816
- Expansion of Product_{k>=1} (1 + x^k)^k / (1 + x^(5*k))^(5*k).at n=20A285293
- Number of permutations of [n] with alternating cycle size parities.at n=8A286076