12400
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 30752
- Proper Divisor Sum (Aliquot Sum)
- 18352
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 310
- Omega Function (Ω)
- 7
- 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
- 156
- 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 n-node triangulations of sphere in which every node has degree >= 4.at n=11A000103
- Number of bipartite partitions of n white objects and 5 black ones.at n=13A000491
- Theta series of D_5 lattice.at n=43A005930
- a(n) = n + max_{0 <= i <n} ((n-i)*a(i)), a(0) = 1.at n=22A008609
- a(n) = (2*n - 9)*n^2.at n=20A015243
- Composite numbers k such that sigma(k)*(phi(k) + 2) is a square.at n=23A065655
- Sum of the degrees of the irreducible representations of the group GL(3,Z_n).at n=4A086782
- Numbers k such that sigma(k) divides k^2.at n=18A090777
- Number of 3 X 3 symmetric matrices over Z(n) having nonzero determinant.at n=4A115225
- Order of the group of invertible 3 X 3 symmetric matrices over Z(n).at n=4A115226
- Triangular matrix T, read by rows, such that the anticommutator of T and U shifts the columns of T up 1 row: {T,U}(n,k) = T(n+1,k), where U denotes the triangular matrix defined by U(n,k) = A000108(n-k) = Catalan(n-k) for n>=k and where T(n,n) = (n+1).at n=37A116077
- Number of permutations of n distinct letters (ABCD...) each of which appears 5 times and having n-2 fixed points.at n=31A123296
- Terms of A068563 that are not terms of A124240.at n=49A124241
- Triangle T, read by rows, where g.f. of row n of T^n = (y + n*(n+1))^n for n>=0 and T^n denotes the n-th matrix power of T.at n=10A132875
- Column 0 of triangle A132875.at n=4A132877
- 10^n+7^n-1.at n=4A155657
- A walk of 10-divisible "less regular" figurate cuboctahedra, from sequence A160249.at n=28A160517
- Regular coverings having dihedral voltage groups: see Kwak-Lee reference in A160870 for precise definition.at n=4A160876
- a(n) = ((2^b-1)/phi(n))*Sum_{d|n} Moebius(n/d)*d^(b-1) for b = 5.at n=6A160894
- Triangle read by rows: For 1 <= m <= n, t(n,m) = the smallest positive integer that when read in binary contains exactly (n+1-m) runs of 0's and 1's, all runs being of distinct lengths m through n in any order within binary t(n,m).at n=11A161000