Properties of the Number 6909

Six Thousand Nine Hundred Nine

Basics

Value: 6908 → 6909 → 6910

Parity: odd

Prime: No

Previous Prime: 6907

Next Prime: 6911

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 ² × 47

Divisors: 1, 3, 7, 21, 47, 49, 141, 147, 329, 987

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011111101

Octal: 15375

Duodecimal: 3BB9

Hexadecimal: 1afd

Square: 47734281

Square Root: 83.12039460926542

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 partitions of n such that no part is a sum of two other parts. A236912

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 3 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367301

Array read by antidiagonals: T(n,k) = variant of Knuth's Fibonacci (or circle) product of n and k (A101330). A101385

Fibonacci sequence beginning 0, 7. A22090

Numbers primitive with respect to having more than one factorization into S-primes. See related sequences for definition. A57950

Numbers k such that there are precisely 6 groups of orders k and k + 1. A295992

Number of column-strict plane partitions of n. A5986

Largest number not the sum of distinct n-th-order polygonal numbers. A7419

Number of reduced words of length n in the Weyl group E₇ on 7 generators and order 2903040. A162493

a(n) = a(n-1) + floor(a(n-2)/3) with a(0)=2, a(1)=3. A182229