14913
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 21554
- Proper Divisor Sum (Aliquot Sum)
- 6641
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9936
- Möbius Function
- 0
- Radical
- 4971
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 71
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 2^n - C(n,0) - ... - C(n,4).at n=14A002664
- a(n) = Sum_{k=0..9} binomial(n,k).at n=14A008862
- Number of compositions of n where the largest part is less than or equal to the number of parts.at n=15A077229
- G.f.: A(x) = (1-sqrt(1-4*x))/2 o x/(1-x) o (x-x^2), a composition of functions involving the Catalan function and its inverse.at n=11A120010
- a(0)=3; a(n) = n^2 + a(n-1) for n>0.at n=35A153057
- a(n) = (1/2)*(n^3 - 6*n^2 + 13*n - 6).at n=32A158498
- Numbers k such that there is 1 prime between 100*k and 100*k + 99.at n=12A186393
- Number of distinct values of the sum of 2 products of three 0..n integers.at n=21A225259
- a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise differences of elements are distinct, and for 1<m<n, a(m) does not divide a(n).at n=58A256062
- Number of squares of all sizes in polyominoes obtained by union of two pyramidal figures (A092498) with intersection equals A002623.at n=34A260918
- Number of balanced enriched p-trees of weight n.at n=15A320169
- Numbers m such that m = p^2 + k^2, with p > 0, where p = A007954(m) = the product of digits of m.at n=18A334557
- Row sums of A371783 and A371954 (k-quanimous partitions).at n=29A372121
- G.f. A(x) satisfies A(x) = 1 / ((1 - x) * (1 - 2 * x * (1 + x) * A(x^2))).at n=8A390656