12964
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 25984
- Proper Divisor Sum (Aliquot Sum)
- 13020
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5544
- Möbius Function
- 0
- Radical
- 6482
- 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
- 169
- 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=38A020342
- McKay-Thompson series of class 10B for the Monster group with a(0) = 0.at n=22A058098
- Let pi be an unrestricted partition of n with the summands written in binary notation. a(n) is the number of such partitions whose binary representation has an odd number of binary ones.at n=38A102437
- Lesser of twin admirable numbers: k such that k and k+2 are both admirable numbers.at n=41A109730
- McKay-Thompson series of class 20A for the Monster group.at n=22A112158
- McKay-Thompson series of class 10B for the Monster group with a(0) = -4.at n=22A132040
- a(1)=1. For m >= 0 and 1 <= k <= 2^m, a(2^m +k) = a(k) + Sum_{j=1..2^m} a(j).at n=34A139485
- a(n) = 343*n - 70.at n=37A157374
- Number of 0..5 arrays x(0..n-1) of n elements with each no smaller than the sum of its two previous neighbors modulo 6.at n=6A207097
- Number of 0..n arrays x(0..6) of 7 elements with each no smaller than the sum of its two previous neighbors modulo (n+1).at n=4A207104
- McKay-Thompson series of class 20A for the Monster group with a(0) = 4.at n=22A210459
- Numbers n such that Bernoulli number B_{n} has denominator 870.at n=42A272185
- Multiples of 1852.at n=7A303272
- Number of factorizations of n into factors (greater than 1) of n kinds.at n=27A329365
- Table of distinct triples (A,B,C) such that A = B * C with B < C and A's digits being distinct and split between B and C.at n=54A331401
- Number of integer partitions of n with no adjacent parts having quotient > 2.at n=40A342094
- Number of length-n binary strings having a string attractor of size at most 2.at n=18A355520
- Number of sets of nonzero triangular numbers whose largest element is the n-th triangular number and whose sum is a triangular number.at n=19A378961