Properties of the Number 58293

Fifty-Eight Thousand Two Hundred Ninety-Three

Basics

Value: 58292 → 58293 → 58294

Parity: odd

Prime: No

Previous Prime: 58271

Next Prime: 58309

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 17 × 127

Divisors: 1, 3, 9, 17, 27, 51, 127, 153, 381, 459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110001110110101

Octal: 161665

Duodecimal: 29899

Hexadecimal: e3b5

Square: 3398073849

Square Root: 241.43943339893755

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

a(n) = 6·a(n-1) - 9·a(n-2) + 3·a(n-3). A216757

Number of pairs (λ,μ) of partitions λ of n and μ of floor(n/2) with μ <= λ (by diagram containment). A303851

Number of pairs (λ,μ) of partitions λ of n and μ of ceiling(n/2) with μ <= λ (by diagram containment). A303852

Number of pairs (λ,μ) of partitions λ of 2n and μ of n with μ <= λ (by diagram containment). A303861

Heptagonal numbers A000566 which are the sum of two other heptagonal numbers > 0. A133251

E.g.f. A(x) satisfies differential equation A'''(x)=A(x)+A(x)², A(0)=0, A'(0)=1, A''(0)=1, A'''(0)=1. A199882

Continued fraction for square root of 2Pi. A58293