17672
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 33855
- Proper Divisor Sum (Aliquot Sum)
- 16183
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8648
- Möbius Function
- 0
- Radical
- 94
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 79
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(2n) = a(2n-1) + 2a(2n-2), a(2n+1) = a(2n) + a(2n-1), with a(1) = 2 and a(2) = 3.at n=15A001882
- Hit polynomials; convolution of natural numbers with Fibonacci numbers F(2), F(3), F(4), ....at n=17A001891
- a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A003072.at n=36A024972
- Numbers k such that sigma(phi(k)) = phi(sigma(k)).at n=9A033632
- Trajectory of 1 under map n->41n+1 if n odd, n->n/2 if n even.at n=5A033976
- Coordination sequence for lattice D*_94 (with edges defined by l_1 norm = 1).at n=2A035832
- Coordination sequence for diamond structure D^+_94. (Edges defined by l_1 norm = 1.)at n=2A035923
- Triangle T(n,k) giving number of Dyck paths of length 2n with exactly k hills (0 <= k <= n).at n=67A065600
- Number of Dyck paths of length 2n with exactly 1 hill.at n=11A065601
- Least number k such that k has n anti-divisors.at n=34A066464
- Numbers k such that sigma(phi(k)) divides phi(sigma(k)).at n=19A073858
- Numbers k such that sigma(phi(k)) == phi(sigma(k)) (mod k), that is, A033632(k)/k is an integer.at n=11A092584
- Binomial transform of tribonacci sequence A000073.at n=11A115390
- Powerful happy numbers; if a prime p divides n then p^2 must also divide n and also n must have trajectory under iteration of sum of squares of digits map includes 1.at n=39A140172
- Numbers of the form p^2 * q^3, where p,q are distinct primes.at n=31A143610
- a(n) = numerator of polynomial of genus 1 and level n for m = 4 = A[1,n](4).at n=5A145660
- Row 4 of table A162424.at n=25A162427
- Members of A143610 for which both neighbors are squarefree.at n=13A166987
- T(n,k)=Number of n-turn queen's tours on a kXk board summed over all starting positions.at n=38A186965
- Number of 3-turn queen's tours on an n X n board summed over all starting positions.at n=6A186966