13616
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 28272
- Proper Divisor Sum (Aliquot Sum)
- 14656
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- 0
- Radical
- 1702
- Omega Function (Ω)
- 6
- 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
- 63
- 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
- Largest number not the sum of distinct n-th-order polygonal numbers.at n=38A007419
- Average of terms of n-th row of A077321.at n=43A077325
- Number of nonsingular n X n real {0,1}-matrices n X n which are not robust (cf. A125587) nor in A127186.at n=3A127706
- a(n) = (2*n^3 + 5*n^2 + 11*n)/2.at n=22A162263
- Totally multiplicative sequence with a(p) = 7p+2 for prime p.at n=29A166675
- 1/12 the number of (n+2) X 4 0..2 arrays with each 3 X 3 subblock containing three of each value.at n=3A184379
- 1/12 the number of (n+2)X6 0..2 arrays with each 3X3 subblock containing three of each value.at n=1A184381
- T(n,k)=1/12 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing three of each value.at n=11A184386
- T(n,k)=1/12 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing three of each value.at n=13A184386
- 1-sequence of reduction of tetrahedral number sequence by x^2 -> x+1.at n=9A192247
- Expansion of (phi(x) / f(-x^4))^4 in powers of x where phi(), f() are Ramanujan theta functions.at n=21A227175
- Sum of n consecutive cubes starting from n^3.at n=8A240137
- Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically.at n=2A258520
- Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically.at n=1A258521
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically.at n=7A258522
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically.at n=8A258522
- Expansion of Product_{k>=0} (1+x^(3*k+1))^4.at n=39A261637
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 297", based on the 5-celled von Neumann neighborhood.at n=6A271149
- Number of n-ominoes in n X n grid (i.e., rookwise connected sets of n cells in a square array with n rows and n columns).at n=6A272435
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 545", based on the 5-celled von Neumann neighborhood.at n=23A272836