To function on a basic, reptilian, level, I can get by with an hour or two for a period of a few weeks - if I absolutely have to. I did this for a full month when my son was going through a tough phase as a baby; my wife stayed upstairs with our eldest, and I "slept" downstairs, on a sofa cushion on the floor, for about a cumulative total of an hour and a half each night, in ten-minute increments.
I was not happy or healthy, and I didn't trust myself to drive anywhere, but I was alive, ambulatory, and I could hold a conversation. I gained a lot of weight, though. Sleep deprivation for that length of time is absolute torture: you're spaced-out, dried-out, confused, ill, and an unsafe misery for anyone else to be around. I would not recommend that anyone do this unless it's an absolute last resort.
These days I get between 5-7 hours a night, depending on my workload, and the upper end of that has me feeling pretty peachy the following day. The lower end might leave me with a headache, but otherwise I'll feel ok. I'll occasionally need to pull an all-nighter for work, and as long as I don't do two of those back-to-back, they also leave me feeling basically fine.
... I'll probably die in a decade.