Properties of the Number 5037

Five Thousand Thirty-Seven

Basics

Value: 5036 → 5037 → 5038

Parity: odd

Prime: No

Previous Prime: 5023

Next Prime: 5039

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 23 × 73

Divisors: 1, 3, 23, 69, 73, 219, 1679, 5037

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110101101

Octal: 11655

Duodecimal: 2AB9

Hexadecimal: 13ad

Square: 25371369

Square Root: 70.97182539571601

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

Number of twice-partitions of type (Q,P,Q) and weight n. A279790

a(n) = (2·n+5)*(2·n+1). A78371

Triangle related to the divergent series 1^m*1! - 2^m*2! + 3^m*3! - 4^m*4! + ... for m >= -1. A163940

Numbers k such that p=k²+2 and p+2 are primes. A86381

T(n,k)=Number of (n+3)X(k+3) binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock. A188105

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001. A260544

Lexicographically earliest sequence of distinct positive terms such that a(n) is a substring of a(n)*a(n+1). A332703

Staircase of coefficients of polynomials used for column g.f.s of triangle A060924. A61187

First trisection of A061037 (Balmer line series of the hydrogen atom). A142590

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w³ >= x³ + y³. A211651