iphone 4 keeps rebooting _ Pls help

phone4 keeps rebooting. I get the apple logo and then the loading circle before shutting down and this is repeated until the battery is drained. While trying the iOS7 update the phone went in recovery mode. Tinyumbrella helped in exiting out of the recovery mode but now stuck at the apple logo. Pls help me fix the issue.

I don't really think it's a battery issue. Everything was working fine until i tried the OTA update of iOS7 when the phone went in a recovery mode. When connected to itunes it was trying to download a 1.13GB software for around 5 hours and this was never complete. So used Tinyumbrella to exit recovery mode. I was happy to see the "itunes-USB cable" logo on the phone swithcing to the apple boot logo. Thought it would get me back to the home screen but alas ...apple logo changed to the loading circle and then this rebooting cycle keeps repeating. Connecting to itunes prompts to enter the passcode

Note:

1. No active apple id ...the previous apple id is being used on a different device.
2. Do not have a backup and the phone was not synced to itunes.

Please advice is there are ways to recover my iphone.
Thanks