17472
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 56
- Divisor Sum
- 56896
- Proper Divisor Sum (Aliquot Sum)
- 39424
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 546
- Omega Function (Ω)
- 9
- 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
- 35
- 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
- Second (lower) diagonal of partition triangle A047812.at n=15A007045
- Theta series of direct sum of 2 copies of D_4 lattice in powers of q^2.at n=6A008658
- Triangle read by rows: T(n,k) = number of closed meander systems of order n with k<=n components.at n=25A008828
- Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=25A031173
- Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=33A031174
- Theta series of extremal 3-modular even lattice in dimension 28.at n=3A034624
- Theta series of lattice A_2 tensor E_7^2+ (dimension 28, min norm 4).at n=3A037191
- Golden rectangular box numbers: a(n) = n*A007067(n)*A007067(A007067(n)).at n=16A050510
- Number of ways of getting (at least) 5 of a kind, a straight flush, flush, 4 of a kind, full house, straight, 3 of a kind, 2 pair, a pair in wild-card poker with deuces wild.at n=2A057802
- a(n) = product of all even numbers between n-th prime and (n+1)-st prime.at n=8A061216
- Numbers k > 1 such that, in base 8, k and k^2 contain the same digits in the same proportion.at n=21A061662
- a(n) = binomial(2*n, n) mod ((n+1)*(n+2)*(n+3)*(n+4)).at n=10A065346
- a(n) = phi(n^3 + n^2 + n + 1).at n=28A066792
- Fifth convolution of A002605(n) (generalized (2,2)-Fibonacci), n >= 0, with itself.at n=5A073392
- a(n) = (n+1)(n+2)^3*(n+3)(n^2 + 4n + 5)/120.at n=6A114239
- Triangle A007318*A090181 (as infinite lower triangular matrices) .at n=49A130749
- Rectangular array read by antidiagonals: a(n, k) is the number of ways to put k labeled objects into n labeled boxes so that there are exactly two boxes with exactly one object (n, k >= 2).at n=42A131105
- Row sums of triangle A373101.at n=5A143420
- Number of 0..25 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1.at n=2A171331
- Number of 0..n-1 integer arrays v[1..3] of length 3 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..2.at n=25A171354