7982

7982 is a natural number that follows 7981 and precedes 7983. It is an even composite number with prime factorization 2 × 13 × 307; all prime factors are distinct, so 7982 is square-free. As a result, it has eight positive divisors: 1, 2, 13, 26, 307, 614, 3991, and 7982. The sum of its digits is 26, so it is not divisible by 3, and it ends in 2, indicating it is not divisible by 5.

In various numeral systems, 7982 has the representations: binary 1111100101110, octal 17456, and hexadecimal 1F2E. The value is 18 less than 8000. The Euler totient of 7982 is φ(7982) = 3672, reflecting its factorization into three distinct primes.

Context and properties: 7982 serves as an example of a square-free composite number with three distinct prime factors. Its divisor function τ(n) equals 8, and its totient φ(n) equals 3672. There is no widely known cultural or historical significance attached to this specific number, but it appears in mathematical discussions as a representative case for factorization, divisors, and multiplicative functions.