2796
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 3756
- 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
- 928
- Möbius Function
- 0
- Radical
- 1398
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 66
- 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
- Number of n-step self-avoiding walks on diamond.at n=7A001394
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=44A001973
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=23A002653
- Expansion of e.g.f. 1/(9 - Sum_{k=1..8} exp(k*x)).at n=2A004706
- Theta series of lattice Kappa_8.at n=6A015235
- Number of lines through exactly 9 points of an n X n grid of points.at n=58A018816
- Fibonacci sequence beginning 0, 12.at n=13A022346
- a(n) = n * Fibonacci(n+1).at n=12A023607
- a(n) = 2nd elementary symmetric function of the first n+1 odd positive integers.at n=7A024196
- Coordination sequence T2 for Zeolite Code CGS.at n=39A027366
- Sequence satisfies T^2(a)=a, where T is defined below.at n=48A027589
- Triangle of coefficients in expansion of (x+1)*(x+3)*...*(x + 2n - 1) in rising powers of x.at n=52A028338
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^3.at n=32A028627
- Numbers k such that k^2 is palindromic in base 11.at n=23A029996
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 26.at n=28A031524
- Numbers k such that 135*2^k+1 is prime.at n=40A032417
- Numbers k such that 261*2^k+1 is prime.at n=41A032507
- Numbers whose set of base-11 digits is {1,2}.at n=23A032931
- Trajectory of 3 under map n->13n+1 if n odd, n->n/2 if n even.at n=9A037104
- Trajectory of 3 under map n->43n+1 if n odd, n->n/2 if n even.at n=3A037119