582

582 is an integer that follows 581 and precedes 583. It is an even, composite number with prime factorization 2 × 3 × 97. Its positive divisors are 1, 2, 3, 6, 97, 194, 291, and 582. The sum of its proper divisors is 594, which makes 582 an abundant number. In Roman numerals, 582 is written as DLXXXII.

In the calendar, 582 refers to the year 582 CE in the Julian calendar. The 580s was a period of significant political realignment in several regions. In China, the Sui dynasty was established in 581 and continued to consolidate control in the early 582s, setting the stage for later unification efforts. In the broader Eurasian context, the era was marked by ongoing state-building and military activity typical of the early medieval period, with various empires navigating shifting borders and power dynamics.

Beyond mathematics and history, 582 appears as a designation in various catalogs, product numbers, and identifiers across different industries. As a number, it serves as a point of reference in numeral systems, sequences, and classification schemes, illustrating how a single triple-digit figure can carry multiple, distinct meanings depending on context.