Properties of the Number 58017

Fifty-Eight Thousand Seventeen

Basics

Value: 58016 → 58017 → 58018

Parity: odd

Prime: No

Previous Prime: 58013

Next Prime: 58027

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 83 × 233

Divisors: 1, 3, 83, 233, 249, 699, 19339, 58017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001010100001

Octal: 161241

Duodecimal: 296A9

Hexadecimal: e2a1

Square: 3365972289

Square Root: 240.8671833189403

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

Column 6 of table A125781. A125786

Main diagonal of table A125781. A125787

a(n) = 74·n² + 1. A158742

a(n) = 12·n⁴ + 16·n³ + 10·n² + 4·n + 1. A272124

Square array T(n,k) (row n, column k) read by antidiagonals defined by: T(n,k) is the permanent of the n X n matrix with 1 on the diagonal and k elsewhere; T(0,k)=1. A90628

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, -1), (0, 1, 0), (0, 1, 1), (1, 0, 0)}. A151068

Value of p² + (p-1)²/2 as p runs through A001359 (the lesser of twin primes). A372069

Rectangular table, read by antidiagonals, defined by the following rule: start with all 1's in row zero; from then on, row n+1 equals the partial sums of row n excluding terms in columns k = m*(m+1)/2 - 2 (m>=2). A125781

Column 4 of table A125781. A125784

a(n) is the smallest prime > LCM(1,...,x), where·is the n-th prime power (A000961). A58017