17684
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 30954
- Proper Divisor Sum (Aliquot Sum)
- 13270
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8840
- Möbius Function
- 0
- Radical
- 8842
- Omega Function (Ω)
- 3
- 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
- 97
- 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
- Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,1.at n=7A033122
- Sums of 5 distinct powers of 4.at n=32A038473
- Numerators of continued fraction convergents to sqrt(17).at n=4A041024
- a(n) = 8*a(n-1) + a(n-2), starting with a(0) = 1 and a(1) = 4.at n=5A088317
- Integers k such that 10^k - 27 is prime.at n=18A108329
- Results from a change in the rules leading to sequence A097357.at n=14A110565
- Positive numbers of the form x^5-10x^3*y^2+5x*y^4 (where x,y are integers and y>x).at n=14A135792
- Numbers of the form x^5-10x^3*y^2+5x*y^4 (where x,y are integers).at n=20A135793
- Triangle interpolating the swinging factorial (A056040) restricted to odd indices with its binomial inverse. Triangle read by rows. For n >= 0, k >= 0.at n=31A163772
- Number of (w,x,y,z) with all terms in {1,...,n} and 2w*x<=3*y*z.at n=13A211921
- Number of n X 2 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, without consecutive moves in the same direction.at n=4A221821
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, without consecutive moves in the same direction.at n=16A221824
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, without consecutive moves in the same direction.at n=19A221824
- Numbers n such that n, p=prime(n) and q=prime(p) have the same sum of digits.at n=28A261142
- Numbers n such that n^2 + 1 has two distinct prime divisors less than n.at n=23A263876
- Bases b for which there exists an integer y such that y^3 in base b looks like [c,d,c,d] for some base-b digits c, d.at n=43A290176
- First differences of A293230: how many more alive nodes there are in generation n+1 than in generation n in the binary tree of persistently squarefree numbers.at n=35A293440
- Numbers k such that 3*10^k + 37 is prime.at n=21A294122