Properties of the Number 82688

Eighty-Two Thousand Six Hundred Eighty-Eight

Basics

Value: 82687 → 82688 → 82689

Parity: even

Prime: No

Previous Prime: 82657

Next Prime: 82699

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁸ × 17 × 19

Divisors: 1, 2, 4, 8, 16, 17, 19, 32, 34, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001100000000

Octal: 241400

Duodecimal: 3BA28

Hexadecimal: 14300

Square: 6837305344

Square Root: 287.55521208978286

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 walks of length n on one 60-degree wedge of the equilateral triangular lattice. The walk can go along the walls of the wedge, but cannot cross the walls. A129400

Fibonacci sequence beginning 0, 32. A22366

a(n) = 4·n*(21·n - 26). A263229

a(n) = A341886(n)/2; numbers k such that A307437(k) is even. A341887

Triangle read by rows, T(n,k) for 0<=k<=n, generalizes the colored Motzkin paths of A129400. A201641

Pisot sequence E(4,21), a(n) = floor(a(n-1)²/a(n-2) + 1/2). A10908

Number of minimum dominating sets in the 2n-crossed prism graph. A347551

Triangle T(n,k), read by rows n>=0 with terms k=1..3ⁿ, where row n lists the coefficients in the n-th iteration of (x+x²+x³). A166880

Denominator of ∑_k=1..n 1/(n+k). A82688