Properties of the Number 82301

Eighty-Two Thousand Three Hundred One

Basics

Value: 82300 → 82301 → 82302

Parity: odd

Prime: Yes

Previous Prime: 82279

Next Prime: 82307

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 82301

Divisors: 1, 82301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10100000101111101

Octal: 240575

Duodecimal: 3B765

Hexadecimal: 1417d

Square: 6773454601

Square Root: 286.8815086407627

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 (1,-1)-returns to the horizontal axis in all weighted lattice paths in L_n. The members of L_n are paths of weight n that start at (0,0) , end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A182897

Prime partial sums of safe primes A005385. A172036

Primes of the form 100p + 1, where p is prime. A180469

Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 2,1 2,2 3,1 4,2 polyhexes in any orientation on a planar nXnXn triangular grid. A155323

G.f.: (1 - 4·x - sqrt(16·x² - 12·x + 1))/(2·x). A82301