1038

1038 is a natural number that follows 1037 and precedes 1039. It has the prime factorization 2 × 3 × 173, which makes it squarefree. Its positive divisors are 1, 2, 3, 6, 173, 346, 519, and 1038. The sum of its digits is 12, and its digital root is 3. In decimal, it is even and not a multiple of 5.

In other base representations, 1038 equals 10000001110 in binary, 2016 in octal, and 0x40E in hexadecimal. In Roman numerals it is written as MXXXVIII. These representations reflect its place in the base-10 system and how the same value appears across numeral systems.

As a year, 1038 CE falls in the early 11th century of the Middle Ages. In the Julian calendar, it was not a leap year. The historical record for that specific year varies by region, and it does not correspond to a single, widely cited global event. The year is primarily of interest for chronological context within medieval history rather than for a singular defining occurrence.

Beyond its identity as a number, 1038 is used in various cataloging schemes and can appear in fictional or historical chronologies to denote a year. Its mathematical properties, however, are independent of any particular historical usage.