7258

7258 is a positive integer. It is even and composite, and its factorization reveals its structure: 7258 = 2 × 19 × 191, a product of three distinct primes. Because the prime factors are all to the first power, 7258 is square-free.

The eight positive divisors of 7258 are 1, 2, 19, 38, 191, 382, 3629, and 7258. The sum of all divisors is 11520, so the sum of proper divisors (excluding 7258) is 4262. Since 4262 is less than 7258, 7258 is classified as a deficient number.

In modular arithmetic, 7258 is congruent to 1 modulo 3 and to 4 modulo 9, and it is divisible by 2 but not by 5 or 7. The digit sum of 7258 is 7 + 2 + 5 + 8 = 22, indicating it is not divisible by 3 or 9.

There are no widely recognized mathematical constants or theorems specifically associated with the number 7258, and it does not denote a widely used year or standard identifier beyond its ordinary numerical properties. In general discussions, 7258 is primarily noted for its factorization as a product of three distinct primes and its status as a square-free, deficient integer.