DCXCII

DCXCII is the Roman numeral representation for the integer 692. In its symbol form, DC denotes 600, XC represents 90, and II is 2, combining the additive values to give the total 692. The number itself is a composite integer: its prime factorization is 2^2 × 173. As such, it has (2+1)(1+1) = 6 positive divisors: 1, 2, 4, 173, 346, and 692.

In base‑10 notation, 692 is an even number whose digit sum is 6 + 9 + 2 = 17, a prime number. It is not a triangular, square, or cube number. Its nearest prime is 691, and the next higher prime is 701. The number 692 can be expressed in Roman numerals several ways if the standard subtractive notation is relaxed, but the conventional DCXCII remains the most common form.

Historically, 692 has occasionally been referenced in chronological contexts. In the Gregorian calendar, the year 692 CE (Common Era) was a common year beginning on Saturday. During that year, significant events included the continued consolidation of the Abbasid Caliphate under Caliph al-Mansur, the ongoing Frankish campaigns in the region of present-day Germany, and the Christian–Persian diplomatic exchanges that eventually contributed to the layering of medieval geopolitical boundaries.

In addition, the number 692 appears sporadically in cultural references, such as cataloguing systems, aviation identifiers, or as a model year for vehicles and machinery. The Roman numeral DCXCII is often applied in contexts where a succinct numeric designation that acknowledges classical numeral systems is desired, notably in architectural monument marking, event numbering, or in the designation of medieval manuscripts.