Properties of the Number 31541

Thirty-One Thousand Five Hundred Forty-One

Basics

Value: 31540 → 31541 → 31542

Parity: odd

Prime: Yes

Previous Prime: 31531

Next Prime: 31543

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 31541

Divisors: 1, 31541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101100110101

Octal: 75465

Duodecimal: 16305

Hexadecimal: 7b35

Square: 994834681

Square Root: 177.59786034747154

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 form n² + 14641. A256839

Prime number spiral (clockwise, South spoke). A54566

T(n,k) = 1/4 the number of (n+1) X (k+1) 0..3 arrays with no 2 X 2 subblock having sum 6. A183802

Denominators of upper primes-only best approximates (POBAs) to π; see Comments. A265811

Values of A (the short leg) of a Pythagorean triangle with A and C (the hypotenuse) both prime and part of a twin prime. A51642

G.f. satisfies: A(x) = G(x)*A(x³*G(x)²) where G(x) is the g.f. of the Motzkin numbers (A001006). A120895

Number of Aut(G)-orbits on G-characters that come from Riemann surfaces of genus n. A347373

The Collatz iteration of these primes produces only even numbers, primes and 1. A177000

The lesser of twin primes p such that p·q+a+b+c are also the lesser of twin primes, (p and q are twin primes, p+2=q, a=p-1,b=(p+q)/2,c=q+1). A168536

Primes p such that the sum of the squares of digits of p equals the sum of digits of p². A290972