17655
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31104
- Proper Divisor Sum (Aliquot Sum)
- 13449
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8480
- Möbius Function
- 1
- Radical
- 17655
- Omega Function (Ω)
- 4
- 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
- 123
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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) = floor(n*phi^16), where phi is the golden ratio, A001622.at n=8A004931
- a(n) = n^3 + 3*n + 1.at n=26A005491
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), k >= 3.at n=15A033937
- Integers k such that k*28*c + 1 is prime for c = 1, 2, 4, 7 and 14.at n=7A067199
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,1,4}.at n=42A079956
- Integers that are Rhonda numbers to base 8.at n=6A100970
- Number of pentagonal numbers with n digits.at n=8A117712
- Numbers k such that 2*k+1, 4*k+1, 8*k+1 and 16*k+1 are primes.at n=19A124412
- Irregular triangle: the coefficient [x^k] of the polynomial (1-x)^(2*n-1) * Sum_{s>=0} A001263(n+2*s,2*s+1)*x^s in row n >= 1 and column k >= 0.at n=23A178657
- Numbers that have 10 terms in their Zeckendorf representation.at n=5A179250
- Number of n X 3 array permutations with each element moving zero or one space horizontally, diagonally or antidiagonally.at n=4A189644
- T(n,k) = Number of n X k array permutations with each element moving zero or one space horizontally, diagonally or antidiagonally.at n=25A189650
- Number of 5Xn array permutations with each element moving zero or one space horizontally, diagonally or antidiagonally.at n=2A189653
- Ceiling((n+1/n)^3).at n=25A197773
- Triangle of numbers with n 1's and n 0's in their representation in base of Fibonacci numbers (A014417).at n=49A210619
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,-2,1.at n=17A222150
- Number of squares of all sizes in polyominoes obtained by union of two pyramidal figures (A092498) with intersection equals A002623.at n=36A260918
- G.f. A(x) satisfies: x = A(x)-A(x)^2-3*A(x)^3.at n=7A276314
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 542", based on the 5-celled von Neumann neighborhood.at n=35A289094
- p-INVERT of (1,0,1,0,0,0,0,...), where p(S) = 1 - S^5.at n=32A291724