13375
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16848
- Proper Divisor Sum (Aliquot Sum)
- 3473
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10600
- Möbius Function
- 0
- Radical
- 535
- Omega Function (Ω)
- 4
- 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
- 50
- 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) = Sum_{k=0..n} ceiling(k^3/n).at n=36A014813
- [ (4th elementary symmetric function of P(n))/(2nd elementary symmetric function of P(n)) ], where P(n) = {first n+3 primes}.at n=14A024456
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 21 ones.at n=5A031789
- Expansion of (3+2*x^2)/(1-x)^4.at n=24A037236
- a(n) = (a(n-1)a(n-5) + a(n-2)a(n-4) + a(n-3)^2)/a(n-6).at n=57A058232
- a(n+3) = 3*a(n+2) - 2*a(n), a(0) = -1, a(1) = 1, a(2) = 3.at n=10A108898
- Number of n-indecomposable polyominoes with at least n cells.at n=4A125709
- Number of n-indecomposable polyominoes with at least 2n cells.at n=4A126742
- a(n) is the smallest number whose English name has the letter "i" in the n-th position, or -1 if no such number exists.at n=36A164793
- Number of n X n 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=4A201188
- Number of nX5 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=4A201192
- T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=40A201195
- G.f.: exp( Sum_{n>=1} A002426(n)/2 * A002426(n) * x^n/n ), where A002426 is the central binomial coefficients and A002426 is the central trinomial coefficients.at n=6A216586
- Numerators of the continued fraction convergents of log_10((1+sqrt(5))/2).at n=11A217685
- Irregular triangular array read by rows: T(n,k) is the number of inequivalent n X n {0,1} matrices modulo permutation of the rows, containing exactly k 1's; n>=0, 0<=k<=n^2.at n=43A220886
- Irregular triangular array read by rows: T(n,k) is the number of inequivalent n X n {0,1} matrices modulo permutation of the rows, containing exactly k 1's; n>=0, 0<=k<=n^2.at n=52A220886
- Number of nonnegative solutions to x^3 + y^3 + z^3 <= n^3.at n=26A224215
- Number of 2-colorings of an 5 X 5 X 5 grid, up to rotational symmetry, by the number of black cells.at n=3A386555