14704
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
- 10
- Divisor Sum
- 28520
- Proper Divisor Sum (Aliquot Sum)
- 13816
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7344
- Möbius Function
- 0
- Radical
- 1838
- 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
- yes
- 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) = 10^n - 9^n - 8^n - 7^n + 3*6^n.at n=5A081891
- Total number of cycles in the binary n-cube.at n=3A085408
- Numbers k such that k, k + 1 and k + 2 are 3 consecutive Harshad numbers.at n=38A154701
- G.f. satisfies: A(x) = sqrt( theta_3(x*A(x)) / theta_4(x*A(x)) ).at n=7A216879
- Number of nX3 arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor.at n=2A221163
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor.at n=12A221165
- Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) >= number of distinct parts of p.at n=38A241821
- Coordination sequence for (2,6,6) tiling of hyperbolic plane.at n=21A265069
- Number of (undirected) cycles in the n X n torus grid graph.at n=1A296527
- Numbers k such that k divides the sum of digits in primorial base of all numbers from 1 to k.at n=31A333703
- Number of (undirected) cycles in the graph C_4 X C_n.at n=1A339075
- Number of permutations of length n avoiding the permutations 13452, 13542, 14253, 14352, 14532, 15243, 15342, 15432, 24153, and 25143.at n=8A366706
- Expansion of e.g.f. -log(1 + log(1 - 2*x)/2).at n=6A383170
- a(n) = Sum_{k=0..floor(n/2)} (-1)^k * binomial(4*n-2*k,n-2*k).at n=5A390687
- Number of integer partitions of n > 0 such that the least and greatest parts are not both odd (equivalently, their product is even).at n=37A391230