Properties of the Number 56131

Fifty-Six Thousand One Hundred Thirty-One

Basics

Value: 56130 → 56131 → 56132

Parity: odd

Prime: Yes

Previous Prime: 56123

Next Prime: 56149

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 56131

Divisors: 1, 56131

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101101000011

Octal: 155503

Duodecimal: 28597

Hexadecimal: db43

Square: 3150689161

Square Root: 236.91981765989945

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) = 1; for n > 0, a(n) = 41·n² + 2. A206399

Primes p such that p, p+18, p+36 are consecutive primes. A52189

Consider all ways of writing a number as p+2m² where p is 1 or a prime and m >= 0; sequence gives numbers that are expressible in at least 2 more ways than any smaller number. A16067

Primes of the form (p²+2)/33 (with p prime). A165673

a(n) = p(n²*p(n)), where p(x) is the least prime > x. A378137

Number of (w,x,y,z) with all terms in {1,...,n} and w·x+y·z>n². A212136

Minimal natural number (in decimal representation) with n prime substrings in base-6 representation (substrings with leading zeros are considered to be nonprime). A217306

Numbers k such that (prime(j)-1)² + 1 is prime for k <= j <= k + 2. A376522

G.f.: 1/p(x) where p(x)=x⁵ + 2x⁴ - 2x³ - x² + 2x - 1. A153122

Sequence A001033 gives the numbers n such that the sum of the squares of n consecutive odd numbers x² + (x+2)² + ... +(x+2n-2)² = k² for some integer k. For each n, this sequence gives the least value of x. A56131