IPhone won't turn on?

I turned off my iphone 5s and when i tried to turn it back on it would bring up the white apple logo for about a minute or 2 and then just go black. I tried booting it in recovery mode in iTunes so i can try to update it but i only get the option to factory restore which I don't want to do because its not backed up. What can I do? I also charged it for 2 hours so its not the battery

Hold the home button and power button make sure its hooked to the charger