Properties of the Number 53137

Fifty-Three Thousand One Hundred Thirty-Seven

Basics

Value: 53136 → 53137 → 53138

Parity: odd

Prime: No

Previous Prime: 53129

Next Prime: 53147

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 7591

Divisors: 1, 7, 7591, 53137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111110010001

Octal: 147621

Duodecimal: 26901

Hexadecimal: cf91

Square: 2823540769

Square Root: 230.51464161740356

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

Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n} having exactly k blocks that do not consist of consecutive integers (0<=k<=floor(n/2); a singleton is considered a block of consecutive integers). A177256

Numerators of continued fraction convergents to sqrt(82). A41144

Third row of Pascal-(1,7,1) array A081582. A81593

a(n) = 648·n² + 72·n + 1. A154515

a(n) = 13122·n² + 324·n + 1. A157506

Numerators of continued fraction convergents to sqrt(328). A41618

Numerators of continued fraction convergents to sqrt(738). A42420

a(n) = number of conjugacy classes in PSL₄(prime(n)). A124681

a(n) = 2·prime(n)² - 1. A179262

Expansion of e.g.f. 1/(1 - x * (exp(x + x²) - 1)). A371226