13108
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23940
- Proper Divisor Sum (Aliquot Sum)
- 10832
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6272
- Möbius Function
- 0
- Radical
- 6554
- 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
- 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
- Numbers whose set of base-16 digits is {3,4}.at n=15A032840
- A000016 / 2.at n=17A054539
- McKay-Thompson series of class 32B for the Monster group.at n=37A058630
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 10.at n=17A068031
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 20.at n=18A068041
- a(n) = sum of absolute-valued coefficients of (1+2*x-3*x^2)^n.at n=6A084778
- Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors (excluding the proper divisor 1). Rearrangements which cause leading zeros are excluded.at n=8A086248
- Number of closed walks of length n on the complete graph on 5 nodes from a given node.at n=8A109499
- Numbers k such that A003313(k) = A003313(5*k).at n=3A116460
- Row sums of triangle A118404.at n=16A118405
- Unsigned row sums of triangle A118404.at n=16A118406
- Number of spiro bicyclic skeletons with n carbon atoms (see Parks et al. for precise definition).at n=10A121158
- Series expansion of the elliptic function sqrt(k) = theta_2/theta_3 in powers of q^(1/4).at n=73A127391
- Expansion of the elliptic function sqrt(k(q))/q^(1/4) in powers of q, where sqrt(k(q)) = theta_2(q)/theta_3(q).at n=18A127392
- a(n) = 3*a(n-1) + 4*a(n-2) - a(n-3) + 3*a(n-4) + 4*a(n-5).at n=7A135345
- Inverse binomial transform of A007910.at n=30A137505
- Inverse binomial transform of A007910.at n=32A137505
- Inverse binomial transform of A007910.at n=33A137505
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 1, -1), (1, 0, 1), (1, 1, 0)}.at n=7A150843
- Number of 0..n arrays x(0..7) of 8 elements with zero 4th differences.at n=38A200331