DCCCXLVI

DCCCXLVI is the Roman numeral representation of the integer 846. It is formed by adding the values of D (500) plus CCC (300), plus XL (40), plus VI (6). The combined total yields 846, demonstrating the additive principle used in Roman numerals.

The numeral also illustrates the subtractive notation common in Roman numerals, where XL represents 40 by placing X before L to indicate ten less than fifty. This subtractive pair helps keep numbers concise and is a standard feature of standard notation for values like 40, 90, 400, and so on.

In usage, DCCCXLVI appears in contexts where Roman numerals are employed, such as clock faces, outline numbering, chapter designations, regnal numbers, and historical inscriptions. It functions as a stable label for a specific quantity without relying on Arabic numerals, which can be customary for stylistic or traditional reasons.

From a mathematical perspective, 846 is an even, composite number with prime factorization 2 × 3^2 × 47. Its divisors include 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, and 423, in addition to 846 itself. The sum of its proper divisors is 1026, which makes 846 an abundant number.