Properties of the Number 17317

Seventeen Thousand Three Hundred Seventeen

Basics

Value: 17316 → 17317 → 17318

Parity: odd

Prime: Yes

Previous Prime: 17299

Next Prime: 17321

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17317

Divisors: 1, 17317

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001110100101

Octal: 41645

Duodecimal: A031

Hexadecimal: 43a5

Square: 299878489

Square Root: 131.59407281484982

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466]. A78852

Primes p for which the period of reciprocal 1/p is (p-1)/12. A56217

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = a(3) = 1. A50027

Home primes whose homeliness is greater than 3. A133961

Home primes whose homeliness is 4. A133962

Primes of the form XYX, where Y is a single digit. A154270

Primes p such that p's set of distinct digits is {1,3,7}. A108382

Primes of the form 666·n + 1. A37029

Primes of the form abcabc..abcab. A228627

Primes p such that q = 4p² + 1 and r = 4q² + 1 are also prime. A122424