Step-by-step Solution:

The sequence is formed by combining a base number \( n \) and its cube \( n^3 \) as a single integer string. For \( n = 2 \): \( 2 \) and \( 2^3 = 8 \) yields 28. For \( n = 3 \): \( 3 \) and \( 3^3 = 27 \) yields 327. For \( n = 4 \): \( 4 \) and \( 4^3 = 64 \) yields 464. For \( n = 5 \): \( 5 \) and \( 5^3 = 125 \) yields 5125. The next base number is \( n = 6 \). \( 6 \) and \( 6^3 = 216 \) yields 6216.