Properties of the Number 82367

Eighty-Two Thousand Three Hundred Sixty-Seven

Basics

Value: 82366 → 82367 → 82368

Parity: odd

Prime: No

Previous Prime: 82361

Next Prime: 82373

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 31 × 2657

Divisors: 1, 31, 2657, 82367

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100000110111111

Octal: 240677

Duodecimal: 3B7BB

Hexadecimal: 141bf

Square: 6784322689

Square Root: 286.99651565829157

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302808

A Chebyshev T-sequence with Diophantine property. A78367

Numerators of continued fraction convergents to sqrt(285). A41536

Number of irredundant sets in the n-wheel graph. A290494

Frobenius number of the numerical semigroup generated by consecutive centered square numbers. A69760

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302804

Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302811

a(n) = n⁴ + 8·n³ + 20·n² + 16·n + 2. A304725

G.f.: (1-8·x-sqrt(64·x²-20·x+1))/(2·x). A82367

Array read by antidiagonals upwards: a(i,0) = 2, i >= 0; a(i,1) = i+2, i >= 0; a(i,j) = (i+2) * a(i,j-1) - a(i,j-2), for i >= 0, j > 1. A299741