Properties of the Number 6814

Six Thousand Eight Hundred Fourteen

Basics

Value: 6813 → 6814 → 6815

Parity: even

Prime: No

Previous Prime: 6803

Next Prime: 6823

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 3407

Divisors: 1, 2, 3407, 6814

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010011110

Octal: 15236

Duodecimal: 3B3A

Hexadecimal: 1a9e

Square: 46430596

Square Root: 82.54695633395576

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

Q-toothpick sequence (see Comments for precise definition). A187210

Triangle T(n,k) of n X n binary matrices with k=0..n² ones under action of dihedral group of the square D₄. A54252

T(n,k)=Number of length n 1..(k+2) arrays with no leading partial sum equal to a prime. A254539

a(n) = ∑_k=1..n lcm(k,n)/gcd(k,n). A56789

Number of inequivalent ways of choosing n squares from an n X n board, considering rotations and reflections to be the same. A19318

T(n,k) = count of degree k monomials in the elementary symmetric polynomials e(μ,k) summed over all partitions μ of n. A209669

a(n) = number of subsets of {1, 2, ..., n} that represent the first k divisors of m for some positive integers m and 1 <= k <= A000005(m). A378314

Number of partitions of n into 6 or more distinct parts. A347573

T(n,k)=Number of nXk 0..6 arrays with no element equal to another at a city block distance of exactly two, and new values 0..6 introduced in row major order. A222779

Number of inequivalent (mod D₄) ways five checkers can be placed on an n X n board. A242358