DCCLXXXIV

DCCLXXXIV is the standard Roman numeral for the integer 784. In this notation, D denotes 500, CC adds 200, L adds 50, XXX adds 30, and IV adds 4, giving a total of 784.

Numerical properties of 784 include its status as a perfect square, since 784 equals 28 squared. Its prime factorization is 2^4 × 7^2. Consequently, 784 has 15 positive divisors, derived from combinations of 2^a and 7^b with a ranging from 0 to 4 and b from 0 to 2 (for example 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784).

In alternative numeral systems, 784 is represented as 0x310 in hexadecimal and as 1100010000 in binary. These representations reflect its composition as 512 + 256 + 16 in binary terms and as 3×256 + 1×16 in hexadecimal.

Beyond pure arithmetic, DCCLXXXIV appears in contexts where Roman numerals are used for labeling, numbering, or ceremonial inscriptions. As a Roman numeral, it combines subtractive notation (IV for 4) with additive symbols, illustrating common patterns in classical numeral construction.

In summary, DCCLXXXIV denotes 784, a perfect square with a rich factor structure, and it has standard representations across multiple numeral systems.