Properties of the Number 82988

Eighty-Two Thousand Nine Hundred Eighty-Eight

Basics

Value: 82987 → 82988 → 82989

Parity: even

Prime: No

Previous Prime: 82981

Next Prime: 82997

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 20747

Divisors: 1, 2, 4, 20747, 41494, 82988

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010000101100

Octal: 242054

Duodecimal: 40038

Hexadecimal: 1442c

Square: 6887008144

Square Root: 288.07637876091127

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

Generalized Catalan Numbers x³*A(x)² + (x-1)*A(x) + 1 =0. A23431

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 1, 0, 1, 1. A25246

Triangle T(n, k) = Number of non-equivalent (mod D₃) ways to arrange k indistinguishable points on a triangular grid of side n so that no three points are collinear. Triangle read by rows. A234350

Number of non-equivalent (mod D₃) ways to arrange 6 indistinguishable points on a triangular grid of side n so that no three points are collinear. A234354

a(n) = ∑_k=0..n 4^k*F(k) where F(k) is the k-th Fibonacci number. A82988