Properties of the Number 82304

Eighty-Two Thousand Three Hundred Four

Basics

Value: 82303 → 82304 → 82305

Parity: even

Prime: No

Previous Prime: 82301

Next Prime: 82307

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁷ × 643

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 643, 1286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100000110000000

Octal: 240600

Duodecimal: 3B768

Hexadecimal: 14180

Square: 6773948416

Square Root: 286.8867372326577

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

Number of n X 1 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280279

G.f.: A(x) = x/(1 - x - G001190(x²)), where G001190 is the g.f. of A001190, the Wedderburn-Etherington numbers (binary rooted trees). A93126

McKay-Thompson series of class 16d for the Monster group. A82304

Number of (n+1)X8 binary arrays with every 2X2 subblock nonsingular. A183686

Number of (n+1) X 8 0..1 arrays with the permanents of all 2 X 2 subblocks equal and nonzero. A204712

a(n) = (-1) * round(j((1 + sqrt(-n))/2)), where j is j-invariant. A302142