12292
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 24640
- Proper Divisor Sum (Aliquot Sum)
- 12348
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5256
- Möbius Function
- 0
- Radical
- 6146
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- Bode numbers multiplied by 10: 4 + 3*floor(2^(n-1)).at n=13A003461
- Number of partitions of n into 3 or more parts.at n=33A004250
- Numbers that are the sum of 10 positive 11th powers.at n=6A004821
- Number of lines through exactly 3 points of an n X n grid of points.at n=26A018810
- Susceptibility series H_5 for 2-dimensional Ising model (divided by 2).at n=6A054389
- Susceptibility series H_6 for 2-dimensional Ising model (divided by 2).at n=5A055857
- Table T(n,k) by antidiagonals: T(n,k) = number of partitions of n balls of k colors.at n=59A075196
- a(n) = Sum_{d divides n} (-1)^(n/d+1)*d^3.at n=23A078307
- Numbers of the form p^3 + q^3, p, q primes.at n=37A086119
- Maximal term in Collatz-iteration started at 2^n+1.at n=12A087970
- a(n) = 6*2^n + 4 (Bode Number A003461(n+2)) except for a(1)=6.at n=10A091307
- Sums of two distinct prime cubes.at n=30A120398
- Sums of 2 cubes of distinct odd primes.at n=22A137632
- Number of nondecreasing arrangements of n+2 numbers in 0..6 with the last equal to 6 and each after the second equal to the sum of one or two of the preceding four.at n=42A189323
- Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically.at n=3A207345
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically.at n=48A207346
- Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically.at n=6A207348
- 1/4 the number of (n+1) X 5 0..2 arrays with every 2 X 2 subblock having distinct clockwise edge differences.at n=25A209723
- Number of length n+2 0..3 arrays with every three consecutive terms having the sum of some two elements equal to twice the third.at n=30A248428
- Number of partitions of n unlabeled objects of 7 colors.at n=5A270240