Properties of the Number 58644

Fifty-Eight Thousand Six Hundred Forty-Four

Basics

Value: 58643 → 58644 → 58645

Parity: even

Prime: No

Previous Prime: 58631

Next Prime: 58657

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 181

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110010100010100

Octal: 162424

Duodecimal: 29B30

Hexadecimal: e514

Square: 3439118736

Square Root: 242.1652328473268

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

Coefficients in the power series A(x) such that: 2 = ∑_n=-oo..+oo x^2·n+1 * (1 - xⁿ)ⁿ⁺¹ * A(x)ⁿ. A357402

Expansion of 1/∏_n>=1 (1 - (q + q²)ⁿ). A238441

a(1) = 1, a(2n) = A065090(1+a(n)), a(2n+1) = A000040(a(A064989(2n+1))). A269848

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-2,0,1,2}, n=3·r+p_i, and define a(-2)=1. Then a(n)=a(3·r+p_i) gives the quantity of H_9,1,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x²-1) with x=2·cos(π/9). A187499

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-2,0,1,2}, n=3·r+p_i, and define a(-2)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,3,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x²-1) with x=2·cos(π/9). A187501

Permutation of natural numbers: a(1) = 1, a(2n) = A065090(1+a(n)), a(2n+1) = A000040(a(A268674(2n+1))). A269858

Number of (n+2)X(5+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252858

Number of (n+2)X(7+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252860

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 241", based on the 5-celled von Neumann neighborhood. A270990

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252861