Properties of the Number 7766

Seven Thousand Seven Hundred Sixty-Six

Basics

Value: 7765 → 7766 → 7767

Parity: even

Prime: No

Previous Prime: 7759

Next Prime: 7789

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 11 × 353

Divisors: 1, 2, 11, 22, 353, 706, 3883, 7766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111001010110

Octal: 17126

Duodecimal: 45B2

Hexadecimal: 1e56

Square: 60310756

Square Root: 88.12491134747314

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

Number of integer partitions of n with no adjacent parts having quotient >= 2. A342096

Numbers n such that Bernoulli number B_n has denominator 138. A271635

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

List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers. A75931

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, west or northeast neighbors modulo n and the upper left element equal to 0. A267392

a(n) = 4·n² + floor(n/2). A173511

Expansion of ∏_k>=1 1/(1 - (4·k-2)*x^4·k-2). A265829

Number of (w,x,y,z) with all terms in {1,...,n} and w+x<=y+z. A212560

a(n) = 16n² + n. A157474

Number of partitions of n whose greatest part is a multiple of 4. A363046