Properties of the Number 6805

Six Thousand Eight Hundred Five

Basics

Value: 6804 → 6805 → 6806

Parity: odd

Prime: No

Previous Prime: 6803

Next Prime: 6823

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 1361

Divisors: 1, 5, 1361, 6805

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010010101

Octal: 15225

Duodecimal: 3B31

Hexadecimal: 1a95

Square: 46308025

Square Root: 82.49242389456137

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

Expansion of g.f.: x/(1 - 9·x - x²). A99371

a(n) = 4·n² - 6·n + 1. A125202

a(n) = n⁴ + 3·n² + 1. A57721

Centered 18-gonal numbers. A69131

Integers of the form c(n)/b(n) where c(n+1)=c(n)+(n+1)⁴ with c(0)=1 and b(n+1)=b(n)+(n+1)² with b(0)=1. A119617

a(n) = 15·n² + 9·n + 1. A134153

Composites whose prime factorization in base 8 is an anagram of the number in base 8. A260052

Denominators of continued fraction convergents to sqrt(85). A41151

Numbers k that are the products of two distinct primes such that 2·k-1, 4·k-3, 8·k-7 and 16·k-15 are also products of two distinct primes. A177213

Number of ways to place 3 nonattacking knights on a 3 X n board. A172212