12768
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 27552
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 798
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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
- Numbers k such that (k / product of digits of k) is 1 or a prime.at n=36A001103
- Number of rooted toroidal maps with 2 faces, n vertices and no isthmuses.at n=6A006469
- Expansion of e.g.f.: tan(tanh(x) * log(x+1)).at n=8A012652
- Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits.at n=34A020342
- Least k such that first k terms of A022300 contain n more 2's than 1's.at n=19A025515
- Numbers k such that k^2 and k^3 have the same set of digits.at n=18A029797
- Theta series of lattice D3 tensor D3* (dimension 9, det. 262144, min. norm 6).at n=15A033694
- Triangle of rooted planar maps.at n=33A046651
- Numbers that divide the sum of cubes of their divisors.at n=39A046763
- Number of squarefree quaternary words of length n.at n=9A051041
- Triangle T(n,k) (0<= k <=n) read by rows. Left edge is 1, 0, 0, ... Otherwise each entry is sum of entry to left, entries immediately above it to left and right and entry directly above it 2 rows back.at n=42A059283
- Numbers that are the products of distinct substrings (>1) of themselves and do not end in 0.at n=16A059470
- Number of conjugacy classes in the group GL_2(K) when K is a finite field with q = p^m for a prime p and m >= 1.at n=39A060615
- Concatenation of increasing number of alternating digits in base 2, starting with 0.at n=4A065761
- Engel expansion of sinh(1/2).at n=28A068379
- Triangle T(n,k) (n>=0, 0 <= k <= n) read by rows giving number of underdiagonal lattice paths from (0,0) to (n,k) using only steps R=(1,0), V=(0,1) and D=(1,2).at n=52A071943
- Smallest number m such that m and the product of digits of m are both divisible by 7n, or 0 if no such number exists.at n=31A073908
- Smallest number m such that m and the product of digits of m are both divisible by 8n, or 0 if no such number exists.at n=27A073912
- a(n) = (prime(n)-1)*(prime(n)+1).at n=29A084920
- Triangle read by rows: T(n,k) is the number of nonseparable planar maps with r*n edges and a fixed outer face of r*k edges which are invariant under a rotation of 1/r for any r >= 2 (independent of actual value of r).at n=30A091599