Properties of the Number 82172

Eighty-Two Thousand One Hundred Seventy-Two

Basics

Value: 82171 → 82172 → 82173

Parity: even

Prime: No

Previous Prime: 82171

Next Prime: 82183

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 20543

Divisors: 1, 2, 4, 20543, 41086, 82172

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000011111100

Octal: 240374

Duodecimal: 3B678

Hexadecimal: 140fc

Square: 6752237584

Square Root: 286.65658897014737

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 T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (x,y,z) with x=k, remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1); triangle T(n,k), n>=0, 0<=k<=n, read by rows. A328297

Number of n-step walks on cubic lattice starting at (0,0,0), ending at (0,y,z), remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1). A328296

A subclass of quasi-acyclic automata with 3 inputs, n transient and k absorbing labeled states. A82172