Properties of the Number 6812

Six Thousand Eight Hundred Twelve

Basics

Value: 6811 → 6812 → 6813

Parity: even

Prime: No

Previous Prime: 6803

Next Prime: 6823

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 13 × 131

Divisors: 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010011100

Octal: 15234

Duodecimal: 3B38

Hexadecimal: 1a9c

Square: 46403344

Square Root: 82.5348411278534

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

Numbers k such that 3^k - 8 is prime. A217135

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250877

Two-dimensional array read by antidiagonals: T(n,k) = number of arrays of maxima of three adjacent elements of some length n+2 0..k array. A228461

T(n,k) = Number of n X k 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283572

Partitions with superdiagonal growth: number of partitions (p0, p1, p2, ...) of n with π - p0 >= i. A238860

a(n) is the least k such that f(a(n-1)+1) + ... + f(k) > f(a(n-2)+1) + ... + f(a(n-1)) for n > 1, where f(n) = 1/(n+3) and a(1) = 1. A225918

a(n) = 1·2 + 3 + 4·5 + 6 + 7·8 + 9 + 10·11 + 12 + ... + (up to n). A305189

Sum over all permutations of [n] of the product of the lengths of longest increasing subsequence and longest decreasing subsequence. A321275

n times n+9 gives the concatenation of two numbers m and m+6. A116334

Number of squares such that any two consecutive digits of their base-n expansions differ by 1 after arranging the digits in decreasing order. A370370