Properties of the Number 82752

Eighty-Two Thousand Seven Hundred Fifty-Two

Basics

Value: 82751 → 82752 → 82753

Parity: even

Prime: No

Previous Prime: 82729

Next Prime: 82757

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 431

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100001101000000

Octal: 241500

Duodecimal: 3BA80

Hexadecimal: 14340

Square: 6847893504

Square Root: 287.66647354184323

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

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹⁶ in powers of x. A47641

Numbers k such that φ(6k) is either φ(6k-2) or φ(6k+2), where φ is Euler's totient function A000010. A279011

Numbers k such that φ(6k) = φ(6k-2), where φ is Euler's totient function A000010. A279183

The number of grains of sand in the identity element for the 3D sandpile group on an n X n X n cubic grid. A351379

Number of n X 2 binary arrays with some element plus some horizontally or vertically adjacent neighbor totalling two no more than once. A268744

Numbers n such that 4·10ⁿ + 7·R_n - 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A102995

Expansion of (1-x)/(1+2·x+2·x²-2·x³). A78067

Duplicate of A023758. A82752