Solar Battery Charger (you knew it would happen :D)

A 1391 doesn't have "voltage gain". You can buy one from a selection of 17 different trip voltages.
The trip voltage is not exact, a 4.2V one trips somewhere from 4.2V to 4.5V.
 
It is a 1381. I meant that it isnt the exact ratings, such as you have already pointed out.
 
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