[math-fun] Transforming integer D into integer E (exponentiation)

Hello Math-Fun, Say D has 5 digits: D = abcde Starting from the right, pick D’s smallest digit (say it is b) Then E = acde^b Repeat. Examples: 23 --> 3^2 = 9 = stop 34 --> 4^3 = 64 --> 6^4 = 1296 --> 296^1 = 296 --> 96^2 = 9216 --> 926^1 = 926 --> 96^2 = 9216 = loop 35 --> 5^3 = 125 --> 25^1 = 25 --> 5^2 = 25 = loop 3252 --> 325^2 = 105625 --> 15625^0 = 1 = stop Which integers loop? Which integers stop? Best, É. (sorry if this has been explored before)