1056
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 3024
- Proper Divisor Sum (Aliquot Sum)
- 1968
- 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
- 320
- Möbius Function
- 0
- Radical
- 66
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- Expansion of Product_{k>=1} (1 - x^k)^12.at n=10A000735
- Number of switching networks under action of GL_n(Z_2) acting on 2 variables.at n=2A000817
- Number of switching networks (see Harrison reference for precise definition).at n=2A000829
- q-expansion of modular form of weight 13/2: eta(8 tau)^12 * theta(tau).at n=48A002284
- Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).at n=32A002378
- Sets with a congruence property.at n=12A002703
- a(n) = 2*n*(2*n+1).at n=16A002943
- Numbers that are the sum of 2 positive 5th powers.at n=7A003347
- Coefficients of Jacobi cusp form of index 1 and weight 10.at n=16A003784
- Degrees of irreducible representations of Higman-Sims group HS.at n=15A003908
- Theta series of D_4 lattice; Fourier coefficients of Eisenstein series E_{gamma,2}.at n=43A004011
- Numbers that are the sum of at most 2 positive 5th powers.at n=12A004842
- Numbers that are the sum of at most 3 positive 5th powers.at n=23A004843
- Numbers that are the sum of at most 4 positive 5th powers.at n=39A004844
- Number of (n-1)-bead black-white reversible strings; also binary grids; also row sums of Losanitsch's triangle A034851; also number of caterpillar graphs on n+2 vertices.at n=11A005418
- Expansion of x*(1+x-x^2)/((1-x)^4*(1+x)).at n=21A005744
- Number of certain self-avoiding walks with n steps on square lattice (see reference for precise definition).at n=14A006143
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=21A007374
- Sum of next n primes.at n=7A007468
- Consider Leibniz's harmonic triangle (A003506) and look at the non-boundary terms. Sequence gives numbers appearing in denominators, sorted.at n=43A007622