15741
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
- 16
- Divisor Sum
- 25920
- Proper Divisor Sum (Aliquot Sum)
- 10179
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9360
- Möbius Function
- 0
- Radical
- 1749
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 102
- 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
- Numerators of Cotesian numbers (not in lowest terms): A002176*C(n,1).at n=8A002178
- Numbers whose base-4 representation contains exactly three 1's and four 3's.at n=27A045128
- Array read by antidiagonals: T(r,n) = number of two-stack sortable r-permutations.at n=40A093346
- Structured great rhombicubeoctahedral numbers.at n=10A100146
- Triangle read by rows: numerators of Cotesian numbers C(n,k) (0 <= k <= n).at n=46A100640
- Triangle read by rows: numerators of Cotesian numbers C(n,k) (0 <= k <= n).at n=53A100640
- Triangle read by rows: numerators of Cotesian numbers C(n,k) (0 <= k <= n) if the denominators are set to the lcm's of the rows (A002176).at n=46A100642
- Triangle read by rows: numerators of Cotesian numbers C(n,k) (0 <= k <= n) if the denominators are set to the lcm's of the rows (A002176).at n=53A100642
- Numerator of Cotesian number C(n,1).at n=8A100643
- Numbers k such that the numerator of Sum_{j=1..k} k^2/(2*j*(j+k)) is prime.at n=48A125745
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (0, 1, 1), (1, -1, 1), (1, 1, -1)}.at n=8A149072
- Eleven times hexagonal numbers: a(n) = 11*n*(2*n-1).at n=27A154617
- Number of permutations sortable using two parallel stacks.at n=8A216040
- E.g.f.: Limit_{N->oo} [ Sum_{n>=0} (N + n)^(5*n) * (x/N^4)^n/n! ]^(1/N).at n=4A266484
- Largest finite number of distinct words arising in Watanabe's tag system {00, 1011} applied to a binary word w, over all starting words w of length n.at n=28A291067
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384858.at n=32A384862
- Expansion of g^3/(1 - x*g)^2, where g = 1+x*g^3 is the g.f. of A001764.at n=6A391174