13664
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
- 24
- Divisor Sum
- 31248
- Proper Divisor Sum (Aliquot Sum)
- 17584
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 854
- Omega Function (Ω)
- 7
- 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
- Expansion of theta series of {E_7}* lattice in powers of q^(1/2).at n=27A003781
- Theta series of the coset of the E_7 lattice in its dual.at n=6A005931
- Number of polynomials of degree n over GF(2) in which the degrees of all irreducible factors are distinct.at n=15A007839
- Nonzero coefficients in theta series of {E_7}* lattice.at n=13A030443
- Number of ternary Lyndon words of length n with trace 0 and subtrace 0 over GF(3).at n=12A053548
- Number of ternary Lyndon words of length n with trace 1 and subtrace 0 over GF(3). Same as the number of ternary Lyndon words of length n with trace 2 and subtrace 0 over GF(3).at n=12A053562
- McKay-Thompson series of class 45b for Monster.at n=55A058686
- E.g.f.: x/[1-tan(x)].at n=7A109572
- Triangle T(n,k) = coefficient of x^n in expansion of ((1 -sqrt(1 - 4*x - 4*x^2))/2)^k.at n=48A200756
- Number of (w,x,y,z) with all terms in {1,...,n} and |w-x| = 2*|x-y| - |y-z|.at n=32A212578
- Principal diagonal of the convolution array A213783.at n=41A213759
- Principal diagonal of the convolution array A213841.at n=13A213842
- Numbers k such that Sum_{j=1..k} sigma_*(j) == 0 (mod k), where sigma_*(j) is the sum of the anti-divisors of j (A066417).at n=16A229883
- Number of partitions of n such that (maximal multiplicity of parts) > (multiplicity of the maximal part).at n=35A240302
- Numbers m such that the GCD of the x's that satisfy sigma(x) = m is 4.at n=13A241649
- Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 7.at n=14A252247
- Numbers k such that card({x|sigma(x)=k}) > 1 and (Sum_{sigma(x)=k} x) < k.at n=13A258931
- Numbers k such that k!!! - 3^k is prime.at n=26A261316
- Expansion of Product_{k>=1} ((1+x^k)/(1-x^k))^(2*k-1).at n=10A261452
- Numbers n such that A003145(n) = floor(alpha^2*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.at n=46A278352