13376
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 30480
- Proper Divisor Sum (Aliquot Sum)
- 17104
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 418
- Omega Function (Ω)
- 8
- 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
- 45
- 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
- Degrees of irreducible representations of O'Nan group ON.at n=3A003919
- Degrees of irreducible representations of O'Nan group ON.at n=2A003919
- Number of paraffins.at n=37A005998
- Coordination sequence for alpha-Mn, Position Mn3.at n=30A009952
- a(n+2) = 2*a(n+1) + 2*a(n); a(0) = -1, a(1) = 1.at n=12A028860
- 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 57.at n=37A031555
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,3,1.at n=4A037728
- Sum of a(n) terms of 1/k^(4/5) first exceeds n.at n=29A056180
- McKay-Thompson series of class 40C for Monster.at n=48A058664
- a(n) = (n-1)(n-4)(n-9)...(n-k^2) where k^2 < n <= (k+1)^2.at n=19A080500
- Cubeful numbers whose neighbors are also cubeful.at n=6A122692
- Number of permutations of floor(i*7/5), i=0..n-1, with all sums of two adjacent terms unique.at n=7A147921
- Expansion of g.f. (1-2*x^2)/(1-2*x-2*x^2).at n=10A152035
- Partial sums of A160410.at n=23A160799
- Square array T(n, k) = v(k, n)((1)), where v(n, q) = M*v(n-1, q), M = {{0, 1, 0}, {0, 0, 1}, {8*q^3, 6*q, 0}}, with v(0, q) = {1, 1, 1}, read by antidiagonals.at n=39A173747
- Products of the 6th power of a prime and 2 distinct primes (p^6*q*r).at n=37A179672
- Number of n X 5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=11A208376
- Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=6A235291
- Number of (n+1) X (7+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=0A235297
- T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=21A235301