12870
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 39312
- Proper Divisor Sum (Aliquot Sum)
- 26442
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 4290
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- a(n) = binomial coefficient C(n,8).at n=8A000581
- Central binomial coefficients: binomial(2*n,n) = (2*n)!/(n!)^2.at n=8A000984
- a(n) = binomial(n, floor(n/2)).at n=16A001405
- a(n) = binomial(4n,2n) or (4*n)!/((2*n)!*(2*n)!).at n=4A001448
- MacMahon's generalized sum of divisors function.at n=43A002127
- Degrees of irreducible representations of alternating group A_13.at n=50A003868
- Degrees of irreducible representations of symmetric group S_13.at n=90A003877
- Degrees of irreducible representations of symmetric group S_13.at n=91A003877
- a(n+1) = a(n)/n if n|a(n) else a(n)*n, a(1) = 1.at n=15A008336
- Expansion of (1-x^9 ) / (1-x)^9.at n=8A008491
- Triangle of coefficients of Legendre polynomials 2^n P_n (x).at n=20A008556
- Expansion of Product_{k>=1} (1 - x^k)^13.at n=23A010820
- Binomial coefficient C(16,n).at n=8A010932
- Expansion of 1/(1-4*x)^(9/2).at n=4A020920
- Expansion of (1-4*x)^(15/2).at n=8A020927
- Expansion of (1-4*x)^(15/2).at n=4A020927
- Expansion of (1-4*x)^(15/2).at n=16A020927
- Number of compositions of n into 9 ordered relatively prime parts.at n=8A023034
- Binomial coefficients: C(n,k), 5 <= k <= n-5, sorted.at n=35A024749
- Binomial coefficients: C(n,k), 6 <= k <= n-6, sorted.at n=16A024750