Indian mathematician Ramanajan defined a HIGHLY COMPOSITE NUMBER as a number that, counting from 1, sets a record for the number of its divisors. For example,

60 has 12 divisors (1,2,3,4,5,6,10,12,15,20,30, and 60)

The sequence begins 2 4 6 12 24. 60 is the eighth term in the sequence

Problem: Find the 6th, 7th, 9th, 10th and subsequently the nth term in the sequence. Is there a pattern and therefore a formula to find each nth term?