Properties of the Number 31667

Thirty-One Thousand Six Hundred Sixty-Seven

Basics

Value: 31666 → 31667 → 31668

Parity: odd

Prime: Yes

Previous Prime: 31663

Next Prime: 31687

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 31667

Divisors: 1, 31667

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101110110011

Octal: 75663

Duodecimal: 163AB

Hexadecimal: 7bb3

Square: 1002798889

Square Root: 177.95224078386875

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

Primes of the form 41+(n+n²)/2=41+A000217(n). A139219

Nonnegative integers k such that k! mod nextprime(k) is larger than k. A360805

Numbers k whose decimal representation, read as a base-23 value and divided by k, yields an integer. A32577

a(n) = A047980(2n). A47981

First appearance of n in A016014, or 0 if n never occurs. A239800

Primes which contain the fax number of the beast (667). A321001

Primes p such that (p+nextprime(p))/6 is prime and 6·p is the sum of two consecutive primes. A339775

a(n) is the least integer k requiring any combination of at least n 1's or 2's to build using + and *. A382685

G.f.: A(x) = ∑_n>=0 xⁿ * A(n·x) * A(-n·x). A210525

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 79. A31667