Properties of the Number 82734

Eighty-Two Thousand Seven Hundred Thirty-Four

Basics

Value: 82733 → 82734 → 82735

Parity: even

Prime: No

Previous Prime: 82729

Next Prime: 82757

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 13789

Divisors: 1, 2, 3, 6, 13789, 27578, 41367, 82734

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001100101110

Octal: 241456

Duodecimal: 3BA66

Hexadecimal: 1432e

Square: 6844914756

Square Root: 287.635185608437

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 complete compositions of n whose run-lengths cover an initial interval of positive integers. A329749

a(n) = A293564(n) - 1. A308988

G.f. satisfies: A(x) = ∑_n>=0 nⁿ * xⁿ / (A(x) + n·x)ⁿ. A211207

Number of cusps of principal congruence subgroup γ^hat(n). A114

For n odd, a(n) is the least positive integer not already used. For n even, a(n) is 1 plus the lcm of the last n/2 terms. A82734