Properties of the Number 31907

Thirty-One Thousand Nine Hundred Seven

Basics

Value: 31906 → 31907 → 31908

Parity: odd

Prime: Yes

Previous Prime: 31891

Next Prime: 31957

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 31907

Divisors: 1, 31907

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110010100011

Octal: 76243

Duodecimal: 1656B

Hexadecimal: 7ca3

Square: 1018056649

Square Root: 178.62530615789018

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

a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator n (or 0, if such a prime does not exist). A168253

First occurrence of prime gap 10·n. A140791

Numbers k such that there are exactly four biquadratefree powerful numbers (A338325) between k² and (k+1)². A338391

Primes which satisfy the requirements of A380943 in more than one way. A383810

Primes p such that (r-p)/log(p) > 4, where r is the next prime after p. A82889

Primes p such that q-p = 50, where q is the next prime after p. A134124

Primes which satisfy the requirements of A380943 in exactly two ways. A383811

Primes preceding the first-occurrence gaps in A014320. A335366

Numbers appearing in A122072 at least four times. A122390