Properties of the Number 81910

Eighty-One Thousand Nine Hundred Ten

Basics

Value: 81909 → 81910 → 81911

Parity: even

Prime: No

Previous Prime: 81901

Next Prime: 81919

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 8191

Divisors: 1, 2, 5, 10, 8191, 16382, 40955, 81910

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011111111110110

Octal: 237766

Duodecimal: 3B49A

Hexadecimal: 13ff6

Square: 6709248100

Square Root: 286.1992313057462

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

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, without move-in move-out left turns. A221676

G.f. satisfies: A(x) = 1 + x·A(x)⁴/A(-x). A143341

Number of binary strings of length n with equal numbers of 0001 and 1110 substrings. A164165

Number of nX3 arrays of occupancy after each element moves to some horizontal or vertical neighbor, without move-in move-out left turns. A221674

Number of reduced words of length n in Coxeter group on 5 generators S_i with relations (S_i)² = (S_i S_j)⁸ = I. A164706

a(n) = 4ⁿ*(n² - n + 32)/32. A81910