7503

7503 is a natural number that follows 7502 and precedes 7504. In mathematics, it is an odd composite integer with a prime factorization of 3 × 41 × 61, making it square-free. Its positive divisors are 1, 3, 41, 61, 123, 183, 2501, and 7503.

A notable property of 7503 is that it is a triangular number. It equals the 122nd triangular number, T_122, which can be written as 122 × 123 / 2. This means 7503 is the sum of the integers from 1 to 122.

In base-10 representation, the digits of 7503 sum to 15, which confirms that the number is divisible by 3 but not by 9. The number is odd, not divisible by 2 or 5, and its divisors reflect its factorization into three distinct primes.

Because 7503 = 3 × 41 × 61, it has exactly eight positive divisors and is a relatively small example of a square-free, highly composite-friendly structure. The combination of being a triangular number and having three distinct prime factors gives 7503 several interesting arithmetical properties, illustrating how different families of integers—triangular numbers and factorization patterns—can intersect in a single value.