3696
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 11904
- Proper Divisor Sum (Aliquot Sum)
- 8208
- 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
- 960
- Möbius Function
- 0
- Radical
- 462
- Omega Function (Ω)
- 7
- 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
- 131
- 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
- High-temperature series in v = tanh(J/kT) for susceptibility for the Ising model on honeycomb structure.at n=12A002910
- High-temperature series for susceptibility for the spin-1/2 Ising model on hexagonal lattice.at n=6A002919
- Number of figure 8's with 2n edges on the square lattice.at n=5A003304
- Number of asymmetric (not necessarily connected) graphs with n nodes.at n=7A003400
- Degrees of irreducible representations of alternating group A_12.at n=36A003867
- Degrees of irreducible representations of symmetric group S_12.at n=67A003876
- Degrees of irreducible representations of symmetric group S_12.at n=66A003876
- Number of n-step mappings with 4 inputs.at n=11A005945
- a(n) = (n^4 + n^2 + 2*n)/4.at n=11A006528
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=28A007374
- Coordination sequence T4 for Zeolite Code AET.at n=42A008010
- Coordination sequence T7 for Zeolite Code MEL.at n=39A008156
- Coordination sequence T1 for Zeolite Code PHI.at n=44A008227
- Theta series of direct sum of 2 copies of b.c.c. lattice.at n=43A008665
- Number of permutations in S_n with a certain property.at n=13A013498
- Smallest k such that phi(x) = k has exactly n solutions, n>=0 with Carmichael conjecture.at n=30A014573
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among quadruples.at n=15A015644
- Number of 5-tuples of different integers from [ 2,n ] with no common factors among quadruples.at n=15A015645
- Convolution of A000201 with itself.at n=19A023663
- [ (4th elementary symmetric function of P(n))/(2nd elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.at n=11A024535