14560
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 42336
- Proper Divisor Sum (Aliquot Sum)
- 27776
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 910
- Omega Function (Ω)
- 8
- 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
- yes
- 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 walks on cubic lattice.at n=9A005571
- There are three equivalent descriptions: 1. Number of (horizontally or vertically) connected arrays of 1..n on rectangular grid (otherwise zero) with only one local maximum. 2. Number of n-polyominoes labeled 1...n such that each successive labeled cell is the neighbor of a previously labeled cell. 3. Number of connected n-step paths on a rectangular lattice, diagonal or repeated steps not allowed.at n=6A007846
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=35A014642
- Third elementary symmetric function of 3,4,...,n+4.at n=5A024184
- Theta series of 6-dimensional lattice of det 8.at n=45A029543
- Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=23A031173
- Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=34A032540
- Triangle of coefficients of ordered cycle-index polynomials: T(n,k) = binomial(n,k)*Bell(k)*Bell(n-k).at n=39A033306
- Triangle of coefficients of ordered cycle-index polynomials: T(n,k) = binomial(n,k)*Bell(k)*Bell(n-k).at n=41A033306
- a(n) = (2*n+1)*(3*n+1)*(4*n+1)*(5*n+1).at n=3A033592
- Expansion of q^(-3) * (eta(q) * eta(q^8))^8 in powers of q.at n=46A034433
- Number of non-unitary divisors of n!.at n=17A048657
- (Terms in A029613)/2.at n=24A051435
- (Terms in A029627)/2.at n=38A051457
- a(n) = (3*n+4)!!!/4!!!.at n=4A051604
- Numbers k such that sigma(x) = k has exactly 9 solutions.at n=33A060665
- Number of subsets of {1,2,..n} that sum to 1 mod n.at n=17A064355
- Numbers k such that phi(k) = 2*tau(k)^2.at n=19A068564
- Nonsquares which are the product of two numbers with the same digits (leading zeros are forbidden).at n=40A072443
- Expansion of e.g.f. x*exp(3*x)*cosh(x).at n=7A082134