14940
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 45864
- Proper Divisor Sum (Aliquot Sum)
- 30924
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3936
- Möbius Function
- 0
- Radical
- 2490
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 40
- 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) = Sum_{ d divides n } q(d), where q(d) = A000009 = number of partitions of d into distinct parts.at n=62A047966
- a(n) = A000031(n) - A001037(n).at n=36A066656
- Sum of numbers that can be written as t*n + u*(n+1) for nonnegative integers t,u in exactly three ways.at n=7A076456
- a(n) = p^2 - sum of digits of p^p, where p = prime(n).at n=30A140499
- Number of ways to place 5 nonattacking kings on an n X n toroidal board.at n=5A179425
- Numbers n such that (6^n-11)/5 is prime.at n=20A199165
- a(n) = n*(15*n-11)/2.at n=45A226489
- Growth series for affine Coxeter group B_7.at n=10A267170
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 331", based on the 5-celled von Neumann neighborhood.at n=27A271279
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 718", based on the 5-celled von Neumann neighborhood.at n=35A273427
- Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1.at n=4A297393
- T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1.at n=49A297395
- Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1.at n=5A297398
- Expansion of e.g.f. exp(Sum_{k>=1} psi(k)*x^k/k!), where psi() is the Dedekind psi function (A001615).at n=7A301511
- Number of nX7 0..1 arrays with every element unequal to 0, 1, 3 or 4 king-move adjacent elements, with upper left element zero.at n=9A303807
- Number of ways to write n as an ordered sum of ten powers of 2.at n=14A342254
- Numbers k such that the decimal expansion of k and 14^k both begin with 14.at n=31A352239