1632
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 4536
- Proper Divisor Sum (Aliquot Sum)
- 2904
- 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
- 512
- Möbius Function
- 0
- Radical
- 102
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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+3) = a(n+2) + a(n+1) + a(n) - 4.at n=13A000803
- G.f.: (1+x)^2/[(1-x)^4(1-x-x^2)^3].at n=5A001926
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=26A001994
- Number of permutations according to distance.at n=10A002525
- Rook polynomials.at n=11A004306
- Number of Twopins positions.at n=12A005682
- Number of partitions of 3n into powers of 3.at n=54A005704
- Generalized Fibonacci numbers D_{n,2}.at n=11A006210
- Theta series of laminated lattice LAMBDA_11^{min}.at n=3A006910
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=32A006918
- a(n) = 2*binomial(n,3).at n=18A007290
- Coordination sequence T5 for Zeolite Code AET.at n=28A008011
- Coordination sequence T1 for Zeolite Code AST.at n=30A008036
- Coordination sequence T3 for Zeolite Code DOH.at n=25A008080
- Coordination sequence T1 for Zeolite Code MOR.at n=26A008182
- a(n) = lcm(n, phi(n)).at n=50A009262
- Coordination sequence T4 for Zeolite Code RTH.at n=28A009896
- Magnetic susceptibility coefficients for square lattice spin 2 Ising model.at n=23A010116
- Magnetic susceptibility coefficients for square lattice spin 3 Ising model.at n=35A010117
- Magnetic susceptibility coefficients for square lattice spin 3/2 Ising model.at n=17A010118