1248

1248 is a positive integer and a year in the 13th century. In mathematics its prime factorization is 2^5 × 3 × 13, which makes the number highly composite in terms of its divisor structure. It has 24 positive divisors in total. The sum of all divisors equals 3528, so the number is abundant, since the sum of its proper divisors (3528 − 1248 = 2280) exceeds 1248. This combination of factors also gives various arithmetic properties, such as divisibility by 2, 3, 4, 6, 8, 12, 16, 24, and 32. The divisors arise from the product of powers of 2 (up to 2^5), 3, and 13.

In other representations, 1248 can be written as 10011100000 in binary, and as 0x4E0 in hexadecimal. In Roman numerals it is MCCXLVIII. These representations reflect its factorization and place value in different numeral systems, illustrating how a single integer can appear in multiple forms across mathematical and historical contexts.

As a calendar year, 1248 CE falls in the High Middle Ages. In the Julian calendar it was a leap year, as years divisible by four were considered leap years under that system. The year sits within a broader period marked by evolving European states, the growth of scholastic philosophy, and ongoing religious and military activities of the era. While specific events vary by region, 1248 is typically contextualized within the 13th-century historical landscape rather than any single defining incident.