Properties of the Number 82601

Eighty-Two Thousand Six Hundred One

Basics

Value: 82600 → 82601 → 82602

Parity: odd

Prime: Yes

Previous Prime: 82591

Next Prime: 82609

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 82601

Divisors: 1, 82601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100001010101001

Octal: 241251

Duodecimal: 3B975

Hexadecimal: 142a9

Square: 6822925201

Square Root: 287.4038969812344

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

G.f. A(x) satisfies: A(A(A(A(A(x))))) = G(x) where G(x) = x + 4·x² + x·G(G(G(G(G(x))))) is the g.f. of A215118. A215119

Numerators of the determinant of matrix (M(n) - H(n)), where H(n) is the n-th Hilbert matrix and M(n) is an n X n matrix with i,j-th entry i+j-1. A61913

Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 4 or 8 king-move adjacent elements, with upper left element zero. A305249

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 4 or 8 king-move adjacent elements, with upper left element zero. A305252

Tribonacci array: to get the next row, right-adjust the previous 3 rows and add them, then append a final 0. A82601

G.f. satisfies: A(x) = x + 4·x² + x·A(A(A(A(A(x))))). A215118