Chosen Solution
This may be because of how long you have had the console for, if it has been used since 2010 or 2011 the system may be dying because of how much it was used so it may soon go completely dead but that is only my opinion so my awnser is that it might be almost done for
I know this is like 2 years later but I think it is a power supply issue and you might need to buy a new power supply it probably what it means is the fuse might be going out on your system power supply by the way you’re welcome at that solves your problem
Have you tried another outlet? Sounds like it’s not getting enough power draw from whatever it’s plugged into, if it’s into a strip see about minimizing the number of devices that have heavy draw plugged into the same strip.
The optical drive or HDD may be malfunctioning or working loudly, is my best guess at the problem.
Sounds like you need to rebuild your database….if you know how to access the boot menu (from off position hold the power button on until you hear the beeps count 1…..then 2 beeps…keep holding then your boot menu should pop up) if it dont beep turn off and try again just get the beeps to count 1 then 2 then the menu…..once you access the boot screen scroll down to rebuild data base….it should work if not…try replacing your hdmi cord with a new one and a power cord sometimes it can trigger an instant shut down but that’s not always the case but give it a try and get back to me….happy gaming
Also try taking an air can and give a blow inside the console to get rid of the dust but make sure its unplugged when you clear it out theres vents in the back and also in the front give that a try as well