Properties of the Number 82176

Eighty-Two Thousand One Hundred Seventy-Six

Basics

Value: 82175 → 82176 → 82177

Parity: even

Prime: No

Previous Prime: 82171

Next Prime: 82183

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁸ × 3 × 107

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000100000000

Octal: 240400

Duodecimal: 3B680

Hexadecimal: 14100

Square: 6752894976

Square Root: 286.66356587470267

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

Triangle, read by rows, that transforms diagonals in the table of coefficients in the successive iterations of the g.f. (A233531) such that column 0 consists of all zeros after row 1. A233530

The Merrifield-Simmons index of the para-polyphenylene chain of length n. A228606

Number of 2Xn 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. A284076

a(n) is the cyclic length of the iterative sequence f(k) = prime(f(k-1) mod 2ⁿ) with f(0) = 1. A326613

G.f. A(x) such that triangle A233530, which transforms diagonals in the table of successive iterations of A(x), consists of all zeros after row 1. A233531

a(n) is the number of 3-regular 3-hypergraphs on n labeled vertices. (In a 3-hypergraph, each hyper-edge is a proper 3-set; 3-regular implies that each vertex is in exactly 3 hyperedges.) A110101

Professor E. P. B. Umbugio's sequence. A82176

G.f. A(x) satisfies A( A(x)² - x² ) = 4·A(x)³. A389542