MDCCCLXXI is the Roman numeral representation for the number 1871. In this numeral, M stands for 1000, D for 500, C for 100, L for 50, and X for 10. The sequence is constructed as follows: 1000 (M) + 800 (DCCC) + 70 (LXX) + 1 (I). Therefore, MDCCCLXXI equals 1871.