XVIIDCCCLXXXII

XVIIDCCCLXXXII is a Roman numeral. To convert it to the Arabic numeral system, we can break it down. The numeral consists of the following symbols and their corresponding values: X (10), V (5), I (1), D (500), C (100), L (50), X (10), X (10), I (1). When interpreting Roman numerals, we generally add the values of the symbols from left to right. However, if a smaller value precedes a larger value, it indicates subtraction. In XVIIDCCCLXXXII, we first encounter X (10) followed by V (5) and I (1). There is no subtractive notation here. Then we have D (500). Following D are C (100), L (50), X (10), X (10), and I (1). There are no instances of a smaller numeral immediately preceding a larger numeral to indicate subtraction. Therefore, we simply sum the values: 10 + 5 + 1 + 500 + 100 + 50 + 10 + 10 + 1 = 687. Thus, XVIIDCCCLXXXII represents the number 687 in the Arabic numeral system.