1048
1048 is an integer (2^3 × 131) used as a year designation (AD 1048 or 1048 BC). This article explains its mathematical properties, numeral representations, and the calendar contexts in which the number appears.
1048 is a natural number that lies between 1047 and 1049. In mathematics it is an even composite integer with the prime factorization 2^3 × 131. That structure—a small power of two multiplied by a larger prime—determines many of its elementary properties.
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Mathematical properties
Key arithmetic facts about 1048 include:
- Prime factorization: 2^3 × 131.
- Divisors: 1, 2, 4, 8, 131, 262, 524, 1048.
- Sum of all divisors (σ): 1,980; sum of proper divisors: 932, so 1048 is a deficient number (proper divisor sum < number).
- Not a perfect, triangular, square, or cube integer; it is divisible by 8 but not by 3, 5, or 7.
In common numeral systems 1048 appears as 10000011000 in binary, 2030 in octal and 0x418 in hexadecimal. Its decimal digit sum is 13.
Calendar years and historical context
The sequence of digits "1048" also designates years: 1048 AD (11th century CE) and 1048 BC. As a year-number, 1048 AD falls in the High Middle Ages, a period marked by political, cultural and technological change across Eurasia; 1048 BC is part of the early first millennium BC, within the late Bronze Age or early Iron Age in various regions. Specific events vary by region and chronologies.
Uses and distinctions
Beyond arithmetic and chronology, 1048 is used as an identifier in catalogs, model numbers, legislative items or addresses; as with any four-digit number, its meaning depends on context. Mathematically it is notable mainly for its simple factorization and role as an example of an even deficient composite.
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AlegsaOnline.com 1048 Leandro Alegsa
URL: https://en.alegsaonline.com/art/110956