13286
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
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24864
- Proper Divisor Sum (Aliquot Sum)
- 11578
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 1
- Radical
- 13286
- Omega Function (Ω)
- 4
- 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
- 107
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=42A003600
- Number of identity bracelets of n beads of 2 colors.at n=18A032239
- Multiplicity of highest weight (or singular) vectors associated with character chi_15 of Monster module.at n=39A034403
- Base-9 palindromes that start with 2.at n=22A043029
- Number of 2n-bead balanced binary necklaces which are equivalent to their complement, but not equivalent to their reverse and their reversed complement.at n=19A045677
- Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their complement, but not equivalent to their reverse and their reversed complement.at n=19A045686
- Number of pairs of orientable necklaces with n beads and two colors; i.e., turning the necklace over does not leave it unchanged.at n=19A059076
- Numbers k such that binomial(3k, k) - 1 is prime.at n=24A125220
- Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,2,4,0 for x=0,1,2,3,4.at n=6A197074
- Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,2,4,0 for x=0,1,2,3,4.at n=2A197078
- T(n,k) = Number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,1,2,4,0 for x=0,1,2,3,4.at n=38A197079
- T(n,k) = Number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,1,2,4,0 for x=0,1,2,3,4.at n=42A197079
- a(0) = 1; for n > 0, a(n) = 41*n^2 + 2.at n=18A206399
- Total number of points on a sphere when both poles are on an x by x grid where x=8*n+1.at n=40A254527
- Squarefree numbers that are k*A005117(k) for some k.at n=44A257832
- Palindromic numbers in bases 3 and 9 written in base 10.at n=44A259386
- Numbers n such that (2^n + 1) / gcd(n, 2^n + 1) is not squarefree.at n=36A272361
- a(n) = -1 + 5*n/6 + n^3/6.at n=43A283551
- a(n) = [x^n] Product_{k>=1} (1 + x^k)*(1 - x^(n*k))/((1 - x^k)*(1 + x^(n*k))).at n=22A304627
- Indices of primes followed by a gap (distance to next larger prime) of 38.at n=34A320717