Out of curiosity, how long does it take for most people to memorize a piece (not fully grasp it yet per say, just memorize it), with relation to its length? For me, it often depends, I recently memorized Beethoven's Appassionata (1st and 2nd movement thus far) in about 12 days, but with plenty of daily work. (Not to mention that the hard part is getting it polished!) My average (depends on the piece) is usually 10 pages in 7 days or so, but sometimes, as with Bach Fugues and complicated small pieces(as I have witness lately)may take longer than a bigger piece. In How much time do others usually memorize, and in what way? i.e section by section or by repeated reading in large parts.
Concerning technique, which is a most asked about and difficult issue, how long does it take an artist to reach 'transcendental' (virtuosity if you will) execution? Lets say if one were to practice a daily diet of excersizes and pieces daily, for 5-6 hours, and if one has good practice habits, what would be the amount of time needed to reach a 'virtuosity' type of level? I know it is hard to answer it directly and depends on the people, but what is a possible time period?

To determine how much time it would take you to reach "virtuosity" level all depends on how much background you have in the first place. How long have you been playing?
I think that rate of memorization sounds pretty fast to me.. I cannot put music in my mind that fast.. however I guess it may be in my fingers fairly quickly but I can't rely on that for any kind of consistency. I memorize section by section in small chunks.

As much as this might be unpopular, i think that reaching that "virtuoso" level has a big part to do with the person's genius. someone who is good at piano, but not one of those geniusus, may practice for 5 hours a day but never truly reach that "level". But it totally depends on what you are comparign it to...if you are saying " virtuoso" as in Chopin or Beethoven or Rachmaninoff, then i think there are very few who, no matter how hard they work, will reach that level.