So when you are 2 or 3, it's not actually masturbation. It's not sexual, and it's quite common for boys to do this. It just feels good, much like getting your back scratched or your feet rubbed.
Are you doing this now to ejaculation?
There is no such thing as "normal masturbation". Everyone does it differently. Some women sort of "hump" a pillow, some use toys, some use fingers. Some like clitoral stimulation, some prefer stimulation of the g-spot.
Men are the same - some use hands, some use toys, some sort of "hump" a pillow or the mattress, or just do what you do - this is definitely not a one size fits all kind of thing.
Have you tried other things? Toys? Using hands? Lube? Maybe they'll work, maybe they won't. Whatever happens with your masturbation, it's all very different than actual sex. There are so many different sensations and feelings - I wouldn't worry at all.
When you say addiction - what do you mean by that? Are you doing this multiple times a day? Are you having negative consequences? Is it interfering in your daily activities?