Properties of the Number 6743

Six Thousand Seven Hundred Forty-Three

Basics

Value: 6742 → 6743 → 6744

Parity: odd

Prime: No

Previous Prime: 6737

Next Prime: 6761

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 × 613

Divisors: 1, 11, 613, 6743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001010111

Octal: 15127

Duodecimal: 3A9B

Hexadecimal: 1a57

Square: 45468049

Square Root: 82.11577193207161

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

a(n) = floor(n*φ¹⁴), where φ is the golden ratio, A001622. A4929

Table T(n,k) of the number of n X k matrices on {0,1} without adjacent 0's in any row or column. A89934

Number of partitions of n having no parts with multiplicity 3. A118807

Numbers that have 9 terms in their Zeckendorf representation. A179249

G.f. A(x) satisfies: A(x) = G(x·A(x)) where A(x/G(x)) = G(x) = g.f. of A006664, which is the number of irreducible systems of meanders. A168344

a(n) is the number of odd numbers k in range [2ⁿ, (2ⁿ⁺¹)-1] such that all terms in finite sequence [k, floor(k/2), floor(k/4), floor(k/8), ..., 1] are squarefree. A293441

Number of 4 X n (0,1)-matrices with no consecutive 1's in any row or column. A51737

Array read by antidiagonals: T(n,k) = number of n X k binary matrices with no initial bit string in any row or column divisible by 4. A181031

M-sequences m₀,m₁,m₂,m₃ with m₁ < n. A11819

Number of 5 X n matrices with entries {0,1} without adjacent 0's in any row or column. 5th row of A089934. A89936