Properties of the Number 6766

Six Thousand Seven Hundred Sixty-Six

Basics

Value: 6765 → 6766 → 6767

Parity: even

Prime: No

Previous Prime: 6763

Next Prime: 6779

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 17 × 199

Divisors: 1, 2, 17, 34, 199, 398, 3383, 6766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001101110

Octal: 15156

Duodecimal: 3ABA

Hexadecimal: 1a6e

Square: 45778756

Square Root: 82.25569889071517

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) = Fibonacci(n) + 1. A1611

a(n) = 4·n² - 7·n + 4. A54567

14-gonal (or tetradecagonal) numbers: a(n) = n*(6·n-5). A51866

a(n) = Fibonacci(n) + (-1)ⁿ. A8346

Triangular array: the fission of the polynomial sequence ((x+1)ⁿ: n >= 0) by the polynomial sequence ((x+2)ⁿ: n >= 0). (Fission is defined at Comments.) A193842

a(n) = 3·a(n-1) - a(n-2) - 1 with a(0) = 1 and a(1) = 2. A55588

a(n) = floor(n*φ¹¹), where φ is the golden ratio, A001622. A4926

Alternating sum of the first n Fibonacci numbers. A119282

Numbers which have only digits 6 and 7 in base 10. A256292

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically. A207785