13916
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
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 28728
- Proper Divisor Sum (Aliquot Sum)
- 14812
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5880
- Möbius Function
- 0
- Radical
- 994
- Omega Function (Ω)
- 5
- 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
- 58
- 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) = n*(n+1)^2*(6*n^3-5*n^2+3*n+2)/24.at n=6A101379
- Partial sums of floor(Pi^n).at n=8A117882
- Number of base 24 n-digit numbers with adjacent digits differing by four or less.at n=4A126519
- Positive numbers of the form x^4 - 6 * x^2 * y^2 + y^4 (where x,y are integers).at n=33A135789
- The number of homogeneous trisubstituted linear alkanes.at n=27A159938
- Triangle T, read by rows, where T(n,k) = [T^n](n-k-1,0); i.e., where row n of T equals the initial n terms of column 0 in matrix power T^n, reversed and with an appended '1', for n>0, with T(0,0)=1.at n=29A167015
- Column 1 of triangle T=A167015: a(n) = T(n+1,1) = [T^(n+1)](n-1,0) for n>0 with a(0)=1.at n=6A167017
- Third accumulation array, T, of the natural number array A000027, by antidiagonals.at n=49A185508
- Number of 4-step one space at a time bishop's tours on an n X n board summed over all starting positions.at n=21A187157
- Number of 3 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically.at n=9A207683
- Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, four, five, six, seven or eight distinct values for every i,j,k<=n.at n=5A211599
- Number of n X 2 nonnegative integer arrays with upper left 0 and lower right n+2-4 and value increasing by 0 or 1 with every step right or down.at n=21A252870
- Numbers n such that A033493(n)/n is an integer.at n=10A254783
- Number of partitions of 4n into distinct parts with equal sums of odd and even parts.at n=25A255001
- Real part of (n + i)^4.at n=11A272870
- Number of unlabeled loop-graphs covering n vertices such that it is possible to choose a different vertex from each edge (choosable).at n=11A369200
- Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of e.g.f. 1/(1 - x*(-log(1-x))^k).at n=52A392822
- Expansion of e.g.f. 1/(1 - x*log(1-x)^2).at n=7A392823
- Expansion of e.g.f. -LambertW(-x*log(1-x)^2).at n=7A392915