Chosen Solution

My PS4 has started shutting down by itself, even when I am not gaming. The only way it will power back on is by unplugging it for a week and trying it again. It will only stay on for a day or two and shuts down right again. It also turns off if I move the PS4 while its on. Could this be an apu or power supply problem?

Sounds like a power issue. I recommend replace the external power supply, and see if that issue is resolved. If not , its the capacitors on the main board.