Properties of the Number 58320

Fifty-Eight Thousand Three Hundred Twenty

Basics

Value: 58319 → 58320 → 58321

Parity: even

Prime: No

Previous Prime: 58313

Next Prime: 58321

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ⁶ × 5

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001111010000

Octal: 161720

Duodecimal: 29900

Hexadecimal: e3d0

Square: 3401222400

Square Root: 241.49534156997728

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Triangular array: the fusion of (x+1)ⁿ and (x+2)ⁿ; see Comments for the definition of fusion. A193722

Number of steps to reach 0 when starting from 2ⁿ and iterating the map x -> x - (number of 1's in binary representation of x): a(n) = A071542(2ⁿ) = A218600(n)+1. A213710

a(n) is the smallest·such that the quotient d(x)/d(x+1) equals n, where d = A000005. A80372

a(n) = ∑_k=0..n k² * 2^n-k * binomial(n,k). A383136

Mirror of the fusion triangle A193722. A193723

a(n) = n⁵ - n³. A133754

Array read by antidiagonals: T(n,k) = (k+1)ⁿ*(n+k)!. A154120

a(n) = 10·n³. A244729

A convolution triangle of numbers obtained from A025751. A49224

Engel expansion of sinh(1/3). A68380