Properties of the Number 90031

Ninety Thousand Thirty-One

Basics

Value: 90030 → 90031 → 90032

Parity: odd

Prime: Yes

Previous Prime: 90023

Next Prime: 90053

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 90031

Divisors: 1, 90031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111110101111

Octal: 257657

Duodecimal: 44127

Hexadecimal: 15faf

Square: 8105580961

Square Root: 300.0516622183587

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(n) = F(n) * ∑_k∣n 1/F(k), where F(k) is the k-th Fibonacci number. A111075

Primes that remain prime through 4 iterations of function f(x) = 9x + 2. A23324

a(n) = Fibonacci(n) * ∑_d∣n -(-1)^n/d / Fibonacci(d). A203802

Primes that remain prime through 5 iterations of function f(x) = 9x + 2. A23352

Primes p whose binary representation p₂ is the decimal representation of a prime q; and also the sum of the decimal digits of p equals the sum of the digits of p₂. A281299

Number of configurations of the 5 X 5 variant of sliding block 15-puzzle ("24-puzzle") that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A90031

Number of 3-edge-connected rooted cubic maps with 2n nodes and a distinguished Hamiltonian cycle. A264

Primes p such that reversal(p) - 13 is a square. A176371

Number of polynomial functions from Z to Z/nZ. A58067

Numbers n such that n² concatenated with n + 1 is prime. A233358