Properties of the Number 6811

Six Thousand Eight Hundred Eleven

Basics

Value: 6810 → 6811 → 6812

Parity: odd

Prime: No

Previous Prime: 6803

Next Prime: 6823

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 ² × 139

Divisors: 1, 7, 49, 139, 973, 6811

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010011011

Octal: 15233

Duodecimal: 3B37

Hexadecimal: 1a9b

Square: 46389721

Square Root: 82.52878285786117

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

Ruth-Aaron numbers (1): sum of prime divisors of n = sum of prime divisors of n+1. A6145

Number of trees of diameter 4. A94

T(n,k) is the number permutations p of [n] that are k-dist-increasing but not j-dist-increasing for any j<k, where p is j-dist-increasing if j>=0 and p(i)<p(i+j) for all i in [n-j]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A370507

Expansion of x*(1+x-x²)/((1-x)⁴*(1+x)). A5744

Numbers not of the form a² + b³ + c⁴ + d⁵ for a,b,c,d >= 0. A111151

Numbers having exactly three representations by the quadratic form x²+xy+y² with 0<=x<=y. A198774

Floor(6ⁿ/(1+1/(2·cos(5*π/11)))ⁿ). A240840

Numbers n such that n and n+2 are of the form p²*q where p and q are distinct primes. A74173

Numbers of the form 12n+7 for which ∑_i=0..(4n+2) J(i,12n+7) = 0, where J(i,m) is the Jacobi symbol. A165463

Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, formed inside a right triangle by the straight line segments mutually connecting all vertices and points on the two shorter edges whose positions equal the Farey series of order n. A359971