284

284 is a natural number that follows 283 and precedes 285. In mathematics, it is classified as an even composite number. Its prime factorization is 2^2 × 71, giving it six positive divisors: 1, 2, 4, 71, 142, and 284. The sum of its proper divisors is 220, which means 284 is a deficient number (the sum of proper divisors is less than the number itself).

In different numeral systems, 284 has distinct representations. In binary it equals 100011100, in hexadecimal it is 0x11C, and in octal it is 434. In Roman numerals, 284 is written as CCLXXXIV.

Historically, 284 is notable in the context of the Roman Empire. The year 284 CE marks the accession of Diocletian as emperor, a turning point that led to significant administrative reforms and the establishment of the Tetrarchy, reshaping the late imperial structure of the empire.

Other brief notes about the number 284 include its status as an even number and its non-primality, which has implications in various number-theory considerations such as factorization, divisibility rules, and arithmetic functions. It does not belong to the set of triangular or square numbers, and it is not a palindrome in common bases such as base 10 or base 2. While 284 does not have widely cited cultural or scientific significances beyond its mathematical and historical facets, it serves as a representative example of a small composite integer with straightforward factorization and common base representations.