Properties of the Number 82369

Eighty-Two Thousand Three Hundred Sixty-Nine

Basics

Value: 82368 → 82369 → 82370

Parity: odd

Prime: No

Previous Prime: 82361

Next Prime: 82373

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 ² × 41 ²

Divisors: 1, 7, 41, 49, 287, 1681, 2009, 11767, 82369

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100000111000001

Octal: 240701

Duodecimal: 3B801

Hexadecimal: 141c1

Square: 6784652161

Square Root: 287

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

Sum of legs of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse. A89552

a(n) = (11·n+1)². A17402

Squares with initial digit '8'. A45792

First term of a triple of squares in arithmetic progression, which is not a multiple of another triple in (A198384,A198385,A198386). A198435

Third term of a triple of squares in arithmetic progression, which is not a multiple of another triple in (A198384,A198385,A198386). A198437

Expansion of ∏_k>=1 1 / (1 + k·x^k)^k. A266971

Denominator of 1/49 - 1/n². A61048

Numbers k whose base-10 digits can be split into two parts, q and r, with k = (q-r)². A228103

a(n) = (1-2·n²)². A239607

Squares of pentagonal numbers: a(n) = (1/4)*n²*(3·n-1)². A100255