5872
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 11408
- Proper Divisor Sum (Aliquot Sum)
- 5536
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2928
- Möbius Function
- 0
- Radical
- 734
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- 49
- 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
- Theta series of D_5 lattice.at n=40A005930
- Starting index of a string of exactly 3 consecutive equal digits in decimal expansion of Pi.at n=41A049519
- Number of basis partitions (or basic partitions) of n.at n=45A066447
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A071661.at n=12A079437
- Sum of first n 8-almost primes.at n=7A086061
- The values within a cycle of length 53 of the map x->A098189(x), sorted.at n=40A098191
- Unicode codes for the lunation runes, used in certain medieval Scandinavian perpetual calendar staves as golden numbers 1-19.at n=18A098476
- Non-cubefree numbers k such that 2k+1 is also non-cubefree (A046099).at n=40A115170
- Number of nonisomorphic orthogonal arrays OA(8*n+4,4,2,2).at n=21A130145
- Ulam's spiral (SSW spoke).at n=19A143838
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 0, 1)}.at n=8A148945
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 1, 0), (1, 0, -1), (1, 0, 1)}.at n=7A150236
- Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton (see Comments for precise definition).at n=46A160410
- Numbers k such that Mordell's equation y^2 = x^3 - k has exactly 8 integral solutions.at n=25A179168
- Wiener index of the n-web graph.at n=15A180576
- Upper s-Wythoff sequence, where s=A081276 (eighth cubes). Complement of A184431.at n=34A184432
- Triangle T(n,k) = coefficient of x^n in expansion of ((1 -sqrt(1 - 4*x - 4*x^2))/2)^k.at n=38A200756
- G.f.: exp( Sum_{n>=1} (3^n - A(x))^n * x^n/n ).at n=3A202629
- Number of 2 X 2 matrices with all elements in {1,2,...,n} and determinant in {0,1}.at n=34A209992
- a(n) = 2^n mod 10000.at n=57A216095