9283

9283 is a natural number that comes after 9282 and before 9284. In mathematics, it is notable for being a prime number. It is odd, and its only positive divisors are 1 and 9283. The prime status is confirmed by checking divisibility by all prime numbers up to the square root of 9283 (approximately 96); none of these primes divides the number.

In modular arithmetic, 9283 is congruent to 3 modulo 4. As a prime with this residue, 9283 cannot be expressed as a sum of two integer squares. The digit sum of 9283 is 22, so it is not divisible by 3; its last digit is 3, so it is not divisible by 2 or 5.

As with other prime numbers, 9283 has applications in areas such as number theory, primality testing, and cryptographic constructions, though there is no widely cited structure or object uniquely associated with this particular prime. Its properties are typical of primes in the range around 9000, and it serves as a data point in lists of primes for study in arithmetic progressions and modular arithmetic exercises.