13888
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 32512
- Proper Divisor Sum (Aliquot Sum)
- 18624
- 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
- 434
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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 e.g.f.: tanh(log(1+x)*cos(x)).at n=8A009783
- Weight distribution of any one of the five doubly-even binary [32,16,8] codes (quadratic residue, Reed-Muller, etc.).at n=5A010031
- Weight distribution of any one of the five doubly-even binary [32,16,8] codes (quadratic residue, Reed-Muller, etc.).at n=3A010031
- Coefficients of unique normalized cusp form Delta_16 of weight 16 for full modular group.at n=3A027364
- Number of partitions satisfying (cn(0,5) = 0 and cn(1,5) = cn(4,5)).at n=55A036818
- a(n) = n*(2*n^2 - 3*n + 4)/3.at n=28A037235
- Gaps of 9 in sequence A038593 (lower terms).at n=9A038657
- (n+4)^3 - n^3.at n=31A038866
- Numbers having four 4's in base 6.at n=34A043388
- (n - phi(n)) | sigma(n) for composite n not congruent to 2 (mod 4).at n=25A055164
- Number of trees with n nodes and 6 leaves.at n=12A055293
- Numbers k such that sigma(x) = k has exactly 10 solutions.at n=22A060666
- Square array read by antidiagonals giving number of binary trees of height n with k points on the n-th level (n,k>0).at n=19A065329
- Numbers n such that sigma(n) = 4*(n-phi(n)).at n=9A068420
- Number of symmetric invertible n X n matrices over GF(2).at n=4A086812
- Numbers which are the sum of two positive cubes and divisible by 31.at n=24A102658
- Weight enumerator of [64,39,10] extended BCH code.at n=5A109483
- a(n)*n = A112900(n).at n=3A112901
- Sum of the cubes of the first n cubefree numbers.at n=14A114286
- q-Carlitz-Al-Salam-Appell polynomial coefficients:q=2; p(x,n)=x*p[x, n - 1] - (1 - q^(n - 1))*q^(n - 2)*p[x, n - 2].at n=21A156960