14864
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 28830
- Proper Divisor Sum (Aliquot Sum)
- 13966
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7424
- Möbius Function
- 0
- Radical
- 1858
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- 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*(29*n + 1)/2.at n=32A022287
- Composite numbers whose prime factors contain no digits other than 2 and 9.at n=39A036313
- Numerators of continued fraction convergents to sqrt(562).at n=8A042076
- Number of derangements up to cyclic rotations; permutation siteswap necklaces, with no fixed points (no "zero-throws", i.e., empty hands, if we use the mapping Perm2SiteSwap1 of A060495 and A060498).at n=9A064636
- a(n)=det(M_n) where M_n is the n X n matrix m(i,j)=1 if sigma(i+j) is odd, 0 otherwise.at n=31A096733
- a(n) = 512n + 16.at n=28A157475
- a(n) = 20*a(n-1) - 92*a(n-2) for n > 1; a(0) = 1, a(1) = 10.at n=4A163206
- Number of right triangles on a (n+1) X 4 grid.at n=31A189808
- O.g.f. satisfies: A(x) = Sum_{n>=0} n^n * x^n * A(n*x^2)^n/n! * exp(-n*x*A(n*x^2)).at n=10A216246
- G.f.: exp( Sum_{n>=1} 4^A001511(n) * x^n/n ), where 2^A001511(n) is the highest power of 2 that divides 2*n.at n=10A217553
- Largest finite number of distinct words arising in Watanabe's tag system {00, 1011} applied to a binary word w, over all starting words w of length n.at n=21A291067
- Total number of parts in all symmetric m-color cyclic compositions of n (that is, the total number of parts in all achiral cyclic compositions of n where a part with size m can be colored with one of m colors).at n=13A307415
- Number of cyclic permutations of length n that avoid the pattern 132 (equivalently, 213).at n=12A309505
- Number of Lyndon compositions of n where every pair of adjacent parts (including the last with the first) is relatively prime.at n=19A328669
- Positions of zeros in A345055, which is the Dirichlet inverse of A011772.at n=33A345053
- Array read by antidiagonals: T(m,n) is the number of induced paths in the grid graph P_m X P_n.at n=40A360199
- Number of induced paths in the n X n grid graph.at n=4A360200