14180
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 29820
- Proper Divisor Sum (Aliquot Sum)
- 15640
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5664
- Möbius Function
- 0
- Radical
- 7090
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 58
- 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+1) X 2 0..2 arrays with no 2 X 2 subblock summing to less than 4.at n=3A184556
- Number of (n+1)X5 0..2 arrays with no 2X2 subblock summing to less than 4.at n=0A184559
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock summing to less than 4.at n=6A184564
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock summing to less than 4.at n=9A184564
- Number of nondecreasing arrangements of 5 numbers x(i) in -(n+3)..(n+3) with the sum of sign(x(i))*x(i)^2 zero.at n=42A188005
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.at n=9A251065
- Number of (4+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.at n=0A251068
- Number of length n arrays of permutations of 0..n-1 with each element moved by -2 to 2 places and every three consecutive elements having its maximum within 4 of its minimum.at n=13A263697
- Expansion of 1/(1-2x/(1-3x/(1-5x/(1-7x/(1-11x/...))))) where 2,3,5,7,11,... are the prime numbers.at n=5A269353
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 929", based on the 5-celled von Neumann neighborhood.at n=21A273781
- G.f. A(x) satisfies: 1 = ...(((((A(x) - x)^(1/2) - x^2)^(1/2) - x^3)^(1/2) - x^4)^(1/2) - x^5)^(1/2) -...- x^n)^(1/2) -..., an infinite series of nested square roots.at n=13A274965
- Number of length n inversion sequences avoiding the patterns 010, 110, and 120.at n=9A279556
- Numbers n such that phi(n) = Sum_{j=1..k} d(n^j) for some k, where phi(n) is the Euler totient function of n and d(n) is the number of divisors of n.at n=33A283757
- Coordination sequence for "reo" 3D uniform tiling.at n=45A299279
- Number of prime parts in the partitions of n into 10 parts.at n=39A309439
- Number of ways to split an n-cycle into connected subgraphs, none having exactly two vertices.at n=17A323950
- Number of integer partitions of n not containing their mean.at n=35A327472
- Expansion of e.g.f. 1 / (1 - Sum_{k>=1} binomial(k,floor(k/2)) * x^k / k!).at n=6A330019
- a(n) is the smallest nonnegative integer such that the sum of any seven ordered terms a(k), k<=n (repetitions allowed), is unique.at n=7A365303
- Expansion of Product_{i>=1, j>=0} (1 + x^(i * 5^j)).at n=53A373219