12136
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23940
- Proper Divisor Sum (Aliquot Sum)
- 11804
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 3034
- Omega Function (Ω)
- 5
- 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
- 63
- 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
- Partitioning integers to avoid arithmetic progressions of length 3.at n=22A006999
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly nine 1's.at n=39A020445
- Number of conjugacy classes of subgroups of the alternating group A_n.at n=14A029726
- Number of nonisomorphic cyclic subgroups of the group S_n X S_n (where S_n is the symmetric group of degree n).at n=48A063183
- Numbers k such that phi(k) divides sigma(k+1) - sigma(k).at n=35A072611
- Where records occur in A063574.at n=10A075662
- Triangle T(n,k), 0<=k<=n, read by rows; given by [0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...] DELTA [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...] where DELTA is the operator defined in A084938.at n=42A094456
- Triangle read by rows: T(n,k) is number of Motzkin paths of length n having k peaks at height 1.at n=50A097611
- Numbers k such that 7*10^k - 11 is prime.at n=18A102740
- a(1) = 932; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=32A105213
- a(n) = A128941(n) + 2.at n=5A137400
- Expansion of q * f(-q^20) / (f(q) * chi(-q^5)) in powers of q where f(), chi() are Ramanujan theta functions.at n=36A145724
- First differences of harmonic (or Ore) numbers A001599.at n=18A153789
- Number of 3-step king-knight's tours (piece capable of both kinds of moves) on an n X n board summed over all starting positions.at n=8A187851
- Number of rhombuses on a (n+1)X9 grid.at n=34A190097
- Sophie Germain 5-almost primes.at n=18A211162
- Expansion of e.g.f. 1/(1 - log(1 - log(1-x))).at n=7A217033
- Total number of maximal solvable subgroups of the symmetric group, counting conjugates as distinct.at n=9A218955
- Total number of maximal solvable subgroups of the alternating group, counting conjugates as distinct.at n=9A218960
- Numbers k such that 2^k + 31 is prime.at n=6A247952