My iphone 4 is turning on and off every 10 or so seconds?

My iphone is turning on and off every 10 seconds or so. This means i haven't got enough time to backup/restore via itunes as my iphone keeps disconnecting from itunes when it turns off. For some reason when i access my iphone from 3rd party programs like ifunbox or iexplorer i can still access my iphone even as its 'turning on and off'. I've decided the only option left is to delete everything except for the CORE/ESSENTIAL files… I want to 'restore to factory settings' MANUALLY via ifunbox. Can someone please tell me if this is possible and if so, what are these 'essential' files that i must avoid deleting.

Try soft reset press power + home button for 10 sec
if not works then download the same ios version restore it your data will keep in your mobile

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