17628
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 44688
- Proper Divisor Sum (Aliquot Sum)
- 27060
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- 0
- Radical
- 8814
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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
- Number of stable trees with n nodes.at n=15A003426
- Expansion of f(f(x)), where f = x + x^2 + x^4 + x^8 + x^16 + ...at n=21A007801
- Number of (undirected) Hamiltonian paths in n-Moebius ladder.at n=26A020875
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 1, 1, 3, 3.at n=12A025256
- Denominators of continued fraction convergents to sqrt(170).at n=3A041313
- Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which generate a group of order four under binary matrix multiplication.at n=2A054467
- a(n) = Sum_{d|3} phi(d)*n^(3/d).at n=26A054602
- Least positive integer multiples of angle x such that their direction cosines form a unit vector: Sum_{k>0} cos(a(k)*x)^2 = 1, where a(1)=1, a(n+1)>a(n) and x=3-Pi/2.at n=23A080139
- Number of partitions of n such that the set of even parts has only one element.at n=46A090867
- Indices n such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant.at n=24A117345
- Numbers k such that k divides 1 + Sum_{j=1..k} prime(j)^2 = 1 + A024450(k).at n=22A128166
- Number of partitions of n into parts that are odd or == +- 2 (mod 10).at n=45A133153
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A126931.at n=39A171509
- Number of 3-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions.at n=40A187173
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 2.at n=34A209984
- Number of (n+2) X (1+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.at n=27A253503
- G.f.: Product_{m>0} (1 + x^m + 2!*x^(2*m) + 3!*x^(3*m) + 4!*x^(4*m)).at n=21A289486
- Number of (undirected) Hamiltonian paths on the n-prism graph.at n=23A308137
- The sequence T_{3,2}(n,3).at n=13A372077
- Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from the 4 vertices and the equally spaced 4*n points placed on the sides of a square when every pair of the 4 + 4*n points are connected by a circle and where the points lie at the ends of the circle's diameter.at n=33A373109