13160
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 34560
- Proper Divisor Sum (Aliquot Sum)
- 21400
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4416
- Möbius Function
- 0
- Radical
- 3290
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 138
- 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+1)*(n+3)*(n+8)/6.at n=40A000297
- Number of walks on cubic lattice.at n=39A005570
- Triangle T(n,k), n>=1, read by rows, where T(n,k) is the number of lattice polygons with area n and perimeter 2*k.at n=30A008855
- Expansion of 1/((1-4*x)*(1-8*x)*(1-10*x)*(1-12*x)).at n=3A028159
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=36A032767
- a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres.at n=35A046127
- Number of nonsquare rectangles on an n X n board.at n=14A052149
- Number of 6 X 6 binary matrices with n ones, with no zero rows or columns, up to row and column permutation.at n=9A056037
- Triangle T(n,k) of n X n binary matrices with k ones, with no zero rows or columns, up to row and column permutation.at n=75A057149
- Number of pentagonal regions in regular n-gon with all diagonals drawn.at n=35A067152
- Sum of squares of digits of n is equal to the largest prime factor of n.at n=33A074302
- Numbers k such that 2k-1 divides 2^k-1.at n=13A081856
- If mod(n,3)=0 then a(n) = a(n-1), if mod(n,3)=1 then a(n) = Q(n-2)+Q(n-3), if mod(,n,3)=2 then a(n-3)+a(n-4)+a(n-5), where Q() = A005185().at n=47A102149
- If mod(n,3)=0 then a(n) = a(n-1), if mod(n,3)=1 then a(n) = Q(n-2)+Q(n-3), if mod(,n,3)=2 then a(n-3)+a(n-4)+a(n-5), where Q() = A005185().at n=48A102149
- a(n) = 5a(n-1) - 5a(n-2) + a(n-3) + 2*(-1)^(n+1), alternatively a(n) = 3a(n-1) + 3a(n-2) - a(n-3).at n=7A109438
- phi(n) + n is a cube.at n=27A114074
- Period (multiplicative order base 10) of the terms in A116074 and A116075.at n=2A116076
- Numbers k such that 7^k + 2 is semiprime.at n=19A119720
- Expansion of g.f. x^3*(1 - x)/(1 - x - x^2 - x^3 - x^4 - x^5).at n=18A124312
- Twice 13-gonal numbers: a(n) = n*(11*n - 9).at n=35A152997