3003

3003 is a natural number, the integer that follows 3002 and precedes 3004. It is an odd composite number.

Its prime factorization is 3 × 7 × 11 × 13. Because the prime factors are distinct, 3003 is square-free. It has 16 positive divisors: 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, and 3003.

In decimal notation, 3003 is a palindrome (reads the same forward and backward). In Roman numerals it is written MMMIII.

In combinatorics it appears as a binomial coefficient: 3003 = C(14,6) = C(14,8). This connects it to counting 6-element subsets of a 14-element set; equivalently, 8-element subsets as well.

It is a divisor of 360360 (the least common multiple of the integers 1 through 15), reflecting that it divides many small integers due to its factorization.