3582

3582 is a natural number that follows 3581 and precedes 3583. In mathematics, it is an even composite number with prime factorization 2 × 3^2 × 199. Consequently, it is divisible by 2, 3, 6, 9, 18, and 199, and its full set of positive divisors is 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, and 3582. It can be expressed as 18 × 199 or 9 × 398, and it is congruent to 0 modulo 9 and modulo 18. Its proximity to the square of 60 (60^2 = 3600) places it 18 shy of a perfect square.

In numeral systems, 3582 can be written as MMMDLXXXII in Roman numerals. In other mathematical contexts, it is used as an example of an even number with several small prime factors. There are no widely recognized historical events or constants specifically associated with the number 3582, making it primarily of interest for basic number theory and arithmetic demonstrations.