7882

7882 is a positive integer. It is even and composite, with prime factorization 2 × 7 × 563. Since all prime factors are distinct, 7882 is square-free and has eight positive divisors: 1, 2, 7, 14, 563, 1126, 3941, and 7882.

In arithmetic terms, 7882 has several notable properties. The sum of its divisors equals 13,536, as given by the multiplicative formula for a square-free number: (1+2)(1+7)(1+563) = 3 × 8 × 564 = 13,536. Its Euler totient is φ(7882) = 3,372, reflecting the count of integers less than 7882 that are coprime to it. The number of divisors is 8, consistent with the factorization into three distinct primes.

In different numeral systems, 7882 is represented as follows: binary 1111011001010, hexadecimal 0x1ECA, and octal 17312. These representations are useful for various computational and programming contexts.

Context and usage: as a small, explicitly factorable integer, 7882 serves as an example in discussions of divisor functions, modular arithmetic, and base-conversion exercises. It is not a prime, nor a notable constant, but its factorization into distinct primes makes it a straightforward case for illustrating properties of square-free numbers and related arithmetic functions.