14664
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 25656
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4416
- Möbius Function
- 0
- Radical
- 3666
- Omega Function (Ω)
- 6
- 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
- 45
- 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
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=34A000511
- From applying the "rational mean" to the number e.at n=7A013999
- Multiplicity of highest weight (or singular) vectors associated with character chi_95 of Monster module.at n=39A034483
- Number of partitions in parts not of the form 19k, 19k+1 or 19k-1. Also number of partitions with no part of size 1 and differences between parts at distance 8 are greater than 1.at n=45A035970
- Sum of distances between dual pairs of partitions of n for the canonical order.at n=14A036045
- Triangle of numbers a(n,k) = number of terms in n X n determinant with 2 adjacent diagonals of k and k-1 0's (0<=k<=n).at n=40A047922
- Numbers k such that sigma(k+1) divides sigma(k), where sigma(k) is the sum of positive divisors of k.at n=22A058073
- Numbers k such that gcd(sigma(k), sigma(k+1)) > k.at n=33A066025
- Triangle read by rows: T(n,m) = number of 3-uniform T_0-hypergraphs with n distinct edges and m vertices(n>=3, 1<=m<=2*n+1).at n=21A093854
- Erroneous version of A193674.at n=5A108799
- Ramanujan numbers (A000594) read mod 16384.at n=22A126824
- Number of extreme n-breakable vectors.at n=25A141348
- a(n) = (3*n+1)*(5*n+1).at n=31A144459
- Expansion of x/((1-x-x^3)*(1-x)^7).at n=10A144901
- a(n) = n! / A156832(n).at n=46A145500
- Numbers k such that sigma(k) = 2*sigma(k+1).at n=11A163193
- n-th single or isolated number*n-th non-single or nonisolated number.at n=42A167885
- Triangle read by rows: T(n,k) is the number of permutations of [n] having k adjacent cycles (0 <= k <= n). An adjacent cycle is a cycle of the form (i, i+1, i+2, ...) (including 1-element cycles).at n=37A184184
- Number of ways of getting a royal flush, other straight flush, four of a kind, full house, other flush, other straight, three of a kind, two pair, a pair, no pair in 6-card poker.at n=2A185241
- Number of nonisomorphic systems enumerated by A102896; that is, the number of inequivalent closure operators (or Moore families).at n=5A193674