Programming puzzle: Longest list of regular numbers?

[John Keith]

Using Han's program, 9733 can be done on the hp 50g if Last Stack is disabled. Takes about 27 minutes on a physical 50g.

For 12-digit calculators a good test number is 3428, since the 3428th Hamming number is the largest one less than 10^12. Should be possible on a 48G with a merged RAM card.