Properties of the Number 8768

Eight Thousand Seven Hundred Sixty-Eight

Basics

Value: 8767 → 8768 → 8769

Parity: even

Prime: No

Previous Prime: 8761

Next Prime: 8779

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁶ × 137

Divisors: 1, 2, 4, 8, 16, 32, 64, 137, 274, 548

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001001000000

Octal: 21100

Duodecimal: 50A8

Hexadecimal: 2240

Square: 76877824

Square Root: 93.637599285757

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 m whose deficiency is 10, or: σ(m) = 2m - 10. A101223

Number of nonisomorphic circulant graphs, i.e., undirected Cayley graphs for the cyclic group of order n. A49287

Numbers with prime factorization p·q⁶. A189987

Total number of parts in all overpartitions of n. A235792

Numbers with 14 divisors. A30632

(Largest) diagonal of the Zorach additive triangle A035312. A35313

A binomial transform of factorial numbers. A84261

Number of binary toroidal necklaces of size n. A323859

Numbers k such that σ(k) == 0 (mod k-5). A274556

T(n,k)=Half the number of (n+2)X(k+2) binary arrays with no 3X3 subblock having a sum equal to any horizontal or vertical neighbor 3X3 subblock sum. A187964