12550
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
- 23436
- Proper Divisor Sum (Aliquot Sum)
- 10886
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5000
- Möbius Function
- 0
- Radical
- 2510
- 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
- 37
- 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
- Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits.at n=30A020342
- Number of partitions satisfying cn(0,5) + cn(2,5) < cn(1,5) + cn(4,5) and cn(0,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=36A039885
- G.f.: 1/B(x) where B(x) = g.f. for A072964.at n=19A073420
- Symmetric triangle, read by rows, where row n equals the (n+1)-th differences of the crystal ball sequence for D_n lattice, for n>=0.at n=40A108558
- Composite numbers k such that binomial(5*k, k) == 5^k (mod k).at n=6A109760
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 7.at n=57A136824
- Subset of A020342 (vampire numbers, definition 1) listing numbers which have more than one such representation of the desired form.at n=5A144563
- Triangle read by rows: T(n,k) is the number of permutations of [n] having k fixed blocks.at n=32A180192
- Number of parts of the n-th subshell of the head of the last section of the set of partitions of any odd integer >= 2n+1.at n=18A182993
- Triangle read by rows: T(n,m) = number of unlabeled graphs on n nodes with m connected components, m = 1,2,...,n.at n=58A201922
- Number of length 3+1 0..n arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero.at n=28A250647
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 137", based on the 5-celled von Neumann neighborhood.at n=27A270276
- a(n) = binomial(4*n, 2*n) - 4*n*binomial(2*n-2, n-1).at n=4A305693
- Number of unlabeled rooted trees with n nodes rooted at two indistinguishable nodes at distance 3 from each other.at n=9A339302
- Irregular triangle read by rows: T(n,k) is the coefficient of x^k in the domination polynomial of the n X n grid graph (n>=1, A104519(n+2)<=k<=n^2).at n=38A378412