Continuing with Eric Angelini's digit-difference/add-subtract/iterate procedure, I have now come across a particularly long run that does not repeat a previous element (i.e., confirm that a loop has been entered) until step 175128. The starting number (linking to a 32 MB evolution) is 293613.
Update (8 Nov 2012): An even longer run that does not repeat a previous element until step 337550: The starting number (linking to a 55 MB evolution) is 294066. I've made a graph of the run.
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