Properties of the Number 58019

Fifty-Eight Thousand Nineteen

Basics

Value: 58018 → 58019 → 58020

Parity: odd

Prime: No

Previous Prime: 58013

Next Prime: 58027

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 13 × 4463

Divisors: 1, 13, 4463, 58019

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001010100011

Octal: 161243

Duodecimal: 296AB

Hexadecimal: e2a3

Square: 3366204361

Square Root: 240.8713349487647

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

G.f. satisfies A(x) = 1 + x·A(x) / (1 - x⁵*A(x)⁴). A365736

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + 2, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294554

Number of primitive (period n) step cyclic shifted sequence structures using exactly three different symbols. A56445

The number of non-equivalent distinguishing coloring partitions of the path on n vertices (n>=1) with at most k parts (k>=1). Square array read by descending antidiagonals: the rows are indexed by n, the number of vertices of the path, and the columns are indexed by k, the number of parts. A309635

G.f. A(x) satisfies [xⁿ] 1/A(x)ⁿ⁺¹ = [xⁿ] 1/A(x)^2·n+2 for n > 1, with A'(0) = 1. A383375

a(n) is the smallest prime > A051451(n)+1. A58019