10556
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 23520
- Proper Divisor Sum (Aliquot Sum)
- 12964
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 5278
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 148
- 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
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=36A001486
- Number of n-step walks on square lattice in the first quadrant which finish at distance n-3 from the x-axis.at n=25A005564
- 5-dimensional pyramidal numbers: a(n) = n*(n+1)*(n+2)*(n+3)*(2n+3)/5!.at n=12A005585
- G.f. is 1 - 1/f(x), where f(x) = 1+x+3*x^2+9*x^3+32*x^4+... is 1/x times g.f. for A063020.at n=8A007858
- Expansion of Product_{k>=1} (1 - x^k)^14.at n=17A010821
- Fibonacci sequence beginning 0, 28.at n=14A022362
- Even numbers to the right of the central numbers of the (1,2)-Pascal triangle A029635.at n=39A029643
- Even numbers to the left of the central elements of the (2,1)-Pascal triangle A029653.at n=40A029665
- Numbers k such that 53*2^k-1 is prime.at n=13A050552
- Numbers m that minimize | k /(k- EulerPhi(k)) - golden ratio phi | when k runs over all the numbers with the same number of digits as m.at n=10A065758
- An interleaved sequence of pyramidal and polygonal numbers.at n=26A081284
- Triangle read by rows: Coefficients of characteristic polynomials of lower triangular matrix of Catalan numbers.at n=18A101413
- Dimensions of the irreducible representations of the simple Lie algebra of type G2 over the complex numbers, listed in increasing order.at n=40A104599
- Number of integer-sided hexagons having perimeter n.at n=30A124286
- Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n} having exactly k blocks that contain both odd and even entries (0<=k<=floor(n/2)).at n=36A124418
- Number of partitions of the set {1,2,...n} having no blocks that contain both odd and even entries.at n=11A124419
- Product of two successive Bell numbers.at n=5A124426
- Triangle, read by rows, where T(n,k) = A049020([n/2],k)*A049020([(n+1)/2],k).at n=36A124526
- Sum of jump-lengths of all binary trees with n edges.at n=8A127533
- Indices k such that k divides A007468(k).at n=21A134244