3312
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 9672
- Proper Divisor Sum (Aliquot Sum)
- 6360
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1056
- Möbius Function
- 0
- Radical
- 138
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 92
- 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
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=45A000082
- Double-bitters: only even length runs in binary expansion.at n=44A001196
- Number of 2n-step self-avoiding cycles on the cubic lattice.at n=3A001413
- Expansion of (psi(x^2) / psi(-x))^3 in powers of x where psi() is a Ramanujan theta function.at n=11A001937
- Degrees of irreducible representations of Mathieu group M_24.at n=20A003859
- a(n) = (n + 1)*(n + 2)*(n + 4)*(n + 8)*(n + 15)/120.at n=8A006636
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=40A007374
- Coordination sequence T4 for Zeolite Code LTN.at n=40A008143
- Coordination sequence T1 for Zeolite Code PAU.at n=42A008219
- Number of 2n-step self-avoiding closed paths (or cycles) on the 3-dimensional cubic lattice.at n=3A010567
- Smallest k such that phi(x) = k has exactly n solutions, n>=0 with Carmichael conjecture.at n=42A014573
- a(n) = (2*n - 1)*n^2.at n=12A015237
- Coordination sequence T4 for Zeolite Code SAO.at n=45A019574
- Fibonacci sequence beginning 0, 23.at n=12A022357
- Conjectured number of irreducible multiple zeta values of depth 10 and weight 2n+28.at n=8A022498
- Number of self-converse semigroups of order n.at n=6A029851
- a(n) = n-th sept-factorial number divided by 2.at n=3A034829
- Smallest Fibonacci number that has n as a factor, divided by n.at n=13A037943
- Numbers divisible by the sum and product of their digits.at n=37A038186
- Denominators of continued fraction convergents to sqrt(245).at n=9A041459