7249

7249 is a natural number that comes after 7248 and before 7250. In mathematics, it is notable for being a prime number, meaning its only positive divisors are 1 and itself. Consequently, it is a square-free integer and cannot be expressed as a product of two smaller integers greater than 1.

7249 is an odd number with a digit sum of 22. It is congruent to 1 modulo several small integers: it leaves a remainder of 1 when divided by 3, 4, and 8, and it has a remainder of 4 when divided by 9. As a prime, its divisors are exclusively 1 and 7249.

In common base representations, 7249 has a straightforward encoding: in binary it is 1110001010001, in hexadecimal it is 0x1C51, and in octal it is 16121. These representations can be useful for computer science applications or for illustrating base conversion in educational contexts.

Because 7249 is prime, it has exactly two positive divisors: 1 and itself. This property places it within the set of prime numbers and makes it suitable as a simple example in discussions of primality, modular arithmetic, and number theory. See also lists of prime numbers and literature on base numeral systems for related topics.