17683
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17684
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 17682
- Möbius Function
- -1
- Radical
- 17683
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 141
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2032
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = ((n+1)-st Fibonacci number) - (n-th non-Fibonacci number).at n=20A014241
- Primes of the form n^2 - 6.at n=21A028880
- a(n) is square mod a(i), i < n; a(n) prime; a(1) = 2.at n=12A034900
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=34A046016
- Primes p such that q-p = 24, where q is the next prime after p.at n=28A098974
- Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3).at n=27A118467
- Sums of two or more distinct 4th powers of primes.at n=23A130833
- Primes congruent to 34 mod 53.at n=39A142564
- Primes congruent to 42 mod 59.at n=38A142769
- Primes congruent to 54 mod 61.at n=34A142852
- Number of 7-element subsets of {1, 2, ..., n} having pairwise coprime elements.at n=20A186983
- Primes which are sums of two or more distinct 4th powers of primes.at n=5A193411
- Primes p such that, for p < q < r three consecutive primes, p + 2q + 2r, 2p + q + 2r and 2p + 2q + r are all primes.at n=2A216262
- Odd primes p with prime(2*p) - 2*prime(p) and prime(p) - 2*prime((p-1)/2) both prime.at n=47A236075
- Number of length n+5 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=40A255996
- a(n) is the smallest nonnegative k such that there is no 3 X 3 matrix with entries in {1,...,n} whose determinant is k.at n=22A262719
- Number of uniform hypertrees spanning n vertices.at n=7A320444
- Primes p(k) such that p(k)^p(k) < p(k+1)^p(k-1).at n=37A358898
- Total number of ways of partitioning n and any natural number less than n into the same number of parts.at n=16A380124
- Prime numbersat n=2032