Properties of the Number 31627

Thirty-One Thousand Six Hundred Twenty-Seven

Basics

Value: 31626 → 31627 → 31628

Parity: odd

Prime: Yes

Previous Prime: 31607

Next Prime: 31643

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 31627

Divisors: 1, 31627

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101110001011

Octal: 75613

Duodecimal: 16377

Hexadecimal: 7b8b

Square: 1000267129

Square Root: 177.83981556445676

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

Expansion of ∏_m>=1 (1 + m²*q^m). A92484

The next prime greater than the square root of 10ⁿ. A131581

Primes of the form x² + 7·y², where·and y=x+1 are consecutive natural numbers. A176616

Primes equal to a hexagonal number plus 1. A285790

Discriminants of imaginary quadratic fields with class number 17 (negated). A46014

E.g.f.: ∑_n>=0 xⁿ/n! * ∏_k=1..n ( LambertW(-k·x)/(-k·x) )^1/k. A230320

Array T(n, m) read by ascending antidiagonals: numerators of shifted Fubini numbers F(n, m) where m >= 0. A338875

Related to Gilbreath conjecture. A1549

Prime numbers that are 2 less than a prime-indexed odd triangular number or 1 more than a prime-indexed even triangular number. A96333

Primes p such that the multiplicative order of 2 modulo p is (p-1)/7. A152307