7656
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
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 13944
- 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
- 2240
- Möbius Function
- 0
- Radical
- 1914
- Omega Function (Ω)
- 6
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 57
- 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) = 2*n*(2*n-1).at n=44A002939
- Coordination sequence for hexagonal close-packing.at n=27A007899
- Coordination sequence for alpha-Nd, Position Nd1.at n=27A009948
- Aliquot sequence starting at 564.at n=6A014361
- Generalized Catalan Numbers x^4*A(x)^2 -(1-x+x^4+x^5+x^6)*A(x) + 1 =0.at n=23A023429
- n written in fractional base 8/7.at n=30A024649
- a(n) = Sum_{i=1..floor((n+1)/4)} a(2*i-1) * a(n-2*i+1), with a(1)=2, a(2)=1, and a(3)=3.at n=11A024741
- Hexagonal matchstick numbers: a(n) = 3*n*(3*n+1).at n=29A045945
- Convolution triangle based on A001333(n), n >= 1.at n=39A054458
- Numbers k such that 2*6^k - 1 is prime.at n=34A057472
- 4-wave sequence beginning with 2s.at n=25A060824
- Number of solutions to x + y + z = 0 mod (2n+1) such that x,y,z are units modulo 2n+1, i.e., gcd(x, 2n+1) = gcd(y, 2n+1) = gcd(z, 2n+1) = 1.at n=43A061780
- Multiples of 24 whose digits also sum to 24.at n=26A066270
- Maximal number of segments (equivalently, corners) in a rook circuit of a 2n X 2n board.at n=44A085622
- a(n) = 7*n^2 + n.at n=33A092277
- Triangle read by rows: T(n,k) = (1/k) times the number of functions from an n-element set into but not onto a k-element set.at n=20A101031
- a(n) = 4*n*(4*n - 1).at n=22A104188
- Triangle, read by rows, equal to the matrix square of A113983.at n=37A113988
- Column 1 of triangle A113988, which is the matrix square of A113983: a(n) = [A113983^2](n+1,1).at n=7A113990
- Engel expansion of cosh(1).at n=44A118239