1262 — the number and the year

Mathematical properties

As an integer 1262 is even and composite. It is the product of two primes, 2 and 631, so it is a semiprime with exactly four positive divisors: 1, 2, 631 and 1262. The sum of its proper divisors (1 + 2 + 631 = 634) is less than 1262, which classifies it as a deficient number. Its Euler totient is φ(1262) = 630. In common positional systems 1262 is written in binary as 10011101110 and in hexadecimal as 4EE.

Historical context: the year 1262 (AD)

The year 1262 falls in the middle of the 13th century, a period marked by wide-ranging political change across Eurasia. Mongol rule and its offshoot khanates continued to reshape Central and East Asia following earlier conquests. In Western Europe, feudal kingdoms and emerging royal administrations consolidated power while Gothic architecture and scholastic learning flourished.

One specifically documented event associated with 1262 is the beginning of the Icelandic submission to the Norwegian crown, commonly referred to as the Old Covenant (in Old Norse, Gamli sáttmáli), which was concluded in the early 1260s and formally brought Iceland under Norwegian rule. This development is often cited by historians as a key moment in Scandinavian medieval history.

Uses, references and distinctions

Like many four-digit numbers, 1262 is used in modern contexts as an identifier — in catalogues, model numbers, legal codes and transportation designations — without any intrinsic meaning beyond its numeric value. Numerically it sits between two composite and nontrivial neighbors and shares simple arithmetic relations with widely used benchmark numbers (for example, φ(1262) = 630, a highly factorizable integer).

Both the numeric and calendrical senses of 1262 are typical of encyclopedia entries that connect precise arithmetic characteristics with broad historical framing. When encountered in texts it is important to clarify whether the reference is to the abstract integer, the medieval year AD 1262, or another use such as a modern catalog or date in a different era (for example 1262 BC, which belongs to a very different historical context).

• Number type: even semiprime, deficient.
• Prime factorization: 2 × 631.
• Divisors: 1, 2, 631, 1262.
• Calendar: year AD 1262 = MCCLXII (13th century).