1048

1048 is a natural number that lies between 1047 and 1049. In mathematics, it is even and composite, with prime factorization 2^3 × 131. Its eight positive divisors are 1, 2, 4, 8, 131, 262, 524, and 1048. The sum of all divisors equals 1980, and the sum of proper divisors is 932, making 1048 a deficient number.

In numeral systems, 1048 can be written in several widely used forms: Roman numerals as MXLVIII; binary as 10000011000; octal as 2030; and hexadecimal as 0x418. These representations reflect standard conversions from decimal.

As a year, 1048 CE falls in the mid-11th century, a period characterized by ongoing developments across various regions, including medieval Europe, the Byzantine Empire, and parts of the Islamic world. Historical records from this year vary by locale, and events are typically understood within the broader context of 11th-century political, religious, and cultural changes.

Beyond numbers and years, 1048 may appear as an identifier in catalogs or databases (such as inventory numbers or archival references), where its meaning depends on the specific system in use.