Properties of the Number 6809

Six Thousand Eight Hundred Nine

Basics

Value: 6808 → 6809 → 6810

Parity: odd

Prime: No

Previous Prime: 6803

Next Prime: 6823

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 11 × 619

Divisors: 1, 11, 619, 6809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101010011001

Octal: 15231

Duodecimal: 3B35

Hexadecimal: 1a99

Square: 46362481

Square Root: 82.516664983505

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

Generalized 29-gonal (or icosienneagonal) numbers: m*(27·m - 25)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303815

T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..3 order. A229755

a(n) = n * ∑_d∣n binomial(d+n-1,n)/d. A343549

Number of ways to place 2 nonattacking kings on an n X n cylindrical chessboard. A194650

Number of partitions of n containing m(2) as a part, where m denotes multiplicity. A240487

The smallest position with nim-value n in subtract-a-square game. A297963

Discriminants of totally real quartic fields. A23680

Total number of elements in all primitive subsets of the integers 1 to n. A87077

a(n) = 5·n² - n + 1. A172043

Numbers n such that Q(sqrt(n)) has class number 9. A218041