Properties of the Number 5138

Five Thousand One Hundred Thirty-Eight

Basics

Value: 5137 → 5138 → 5139

Parity: even

Prime: No

Previous Prime: 5119

Next Prime: 5147

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 × 367

Divisors: 1, 2, 7, 14, 367, 734, 2569, 5138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000010010

Octal: 12022

Duodecimal: 2B82

Hexadecimal: 1412

Square: 26399044

Square Root: 71.6798437498297

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 Lyndon compositions of n whose reverse is not a co-Lyndon composition. A329324

Non-palindromic balanced numbers in base 16. A256080

Number of integer compositions of n whose maximal runs R all satisfy length(R) >= first(R). A389509

a(n)=ceiling( ∑_i=1..n-1 a(i)/6), a(1)=1. A120178

Number A(n,k) of n-element subsets of [k·n] whose elements sum to a multiple of n. Square array A(n,k) with n, k >= 0 read by antidiagonals. A304482

L.g.f.: ∑_n>=1 xⁿ/n * ∏_d∣n (1 + d·x^d)ⁿ. A205485

Numbers n such that there are precisely 4 groups of orders n and n + 1. A295990

Coefficients of the v=2 member of a family of certain orthogonal polynomials. A129462

Coefficients in the expansion of C³/B⁴, in Watson's notation of page 118. A160527

Expansion of ∏_k>=1 (1 - x^k)^σ(k). A288385