1293

1293, written as one thousand two hundred ninety-three, is a natural number that follows 1292 and precedes 1294. It is an odd composite number with prime factors 3 and 431. In mathematics, 1293 is a semiprime and its divisors are 1, 3, 431, and 1293. In different base systems, it is represented as 10100001101 in binary, 2415 in octal, and 0x50D in hexadecimal. In Roman numerals, it is MCCXCIII.

As a year in the calendar, 1293 CE falls in the late 13th century, a period of medieval Europe and the broader Afro-Eurasian world characterized by feudal states, ongoing Crusades in various theaters, and the presence of Mongol polities in Asia. Historical records from this year are fragmentary and pertain to diverse polities rather than a single, decisive event, reflecting the fragmented nature of medieval chronologies.

Because 1293 can occur in multiple contexts, it appears in historical chronology, numerical studies, and calendar calculations. Its factorization into 3 and 431 makes it a semiprime, a class of integers used in certain number-theory discussions and cryptographic considerations. In cultural and educational materials, 1293 is often cited as an example of a composite number with a simple prime factorization and recognizable base representations, illustrating how a single integer can be described across several mathematical and historical lenses.