1359 can denote either the positive integer that follows 1358 or the calendar year MCCCLIX in the 14th century. As a number it has simple but distinctive arithmetic structure; as a year it belongs to the late medieval period and sits within broader historical currents such as the Hundred Years' War and the aftermath of the Black Death.

Mathematical properties

In arithmetic 1359 is a composite, odd integer. Its prime factorization is 3^2×151, so it equals 9×151. It has six positive divisors: 1, 3, 9, 151, 453 and 1359. Because the sum of its proper divisors (1+3+9+151+453 = 617) is less than 1359, the number is classified as deficient.

  • Euler's totient: φ(1359) = 900.
  • Number of divisors: 6.
  • Digital sum: 1+3+5+9 = 18 (digital root 9); divisible by 9 but not by 18.
  • Binary: 10101001111; octal: 2517; hexadecimal: 54F; Roman: MCCCLIX.

Year 1359 (MCCCLIX): historical context

The year 1359 falls in the middle of the 14th century, a period often described as the late Middle Ages. Across Europe political and military struggles continued after the disruptive effects of plague and famines earlier in the century. The long conflict between England and France known as the Hundred Years' War was still shaping alliances and territorial disputes. In many regions rulers worked to rebuild revenue systems and reassert control after demographic and economic shocks.

Beyond western Europe, the wider Eurasian world saw shifting patterns of power: successor states of earlier empires, regional principalities and expanding polities navigated trade routes, diplomacy and military pressure. Local chronicles and administrative records from the period show varied experiences: recovery, reform and renewed conflict occurred together.

Uses, references and notable facts

As an ordinary integer, 1359 appears in enumerations, catalogues and numeric identifiers rather than carrying intrinsic cultural significance. Mathematically, the compact factorization 9×151 and the tidy totient value φ=900 are convenient curiosities for number enthusiasts. When used as a year label, 1359 is often a reference point within studies of 14th-century politics, demography and institutional change.