Iphone 3gs constantly rebooting ios 5.1.1 can't update?

Have and iphone 3gs, never jailbroken it before. I updated it to ios 5.1.1 but now i have a problem. The phone is rebooting every 2-3 minutes. I tried updating to ios 6.0 but it keeps getting errors as the iphone is rebooting constantly. How would i be able to update to ios 6.0. If i put the iphone in recovery or dfu mode would it keep on rebooting
iphone 3gs 16gb ios 5.1.1 serial number 850047… Modem firmware 05.16.05 if any of this helps

Added (1). Iphone 3gs is compatible with ios up to 6.3.1. I have another 3gs and it runs smoothly on that. I have done some research and apparently alot of people have this problem on ios 5.0.1 and 5.1.1

It's because your phone isn't compatible with I. O.S 5 upwards because its such an old model, the only way to sort the problem is to get. New phone basically.

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