The iMac specs: 2.7GHz Quad-core Intel Core i5 Processor; 4GB of 1333MHz DDR3 SDRAM; 1 TB 7200RPM hard drive. Since I can't get it going, I can't tell how much memory is left, but I doubt that it's even approaching a quarter of that 1 TB. It's backed up thru Time Machine to a 2 TB My Book for Mac.
When I boot up, it shows the Apple logo and a loading bar beneath that progresses about a quarter of the way before the screen goes to white/blank. The spinning circle appears rather than a cursor, which seems to indicate to me that something is trying to load, but never gets there.
I may just take it to my Apple repair shop next week, unless there is a magic "fix it" key that I can press on boot-up.