I had the Note 3 before switching to the Galaxy S6 and I had Lollipop on it. Perhaps your carrier hasn't released it yet? Because Lollipop for the Note 3 was released before the Galaxy S6 came out, I think if I remember correctly I got the update on my phone through my carrier about 6 months after Lollipop was released so somewhere around March. If your Note 3 is unlocked it should be available to download. You can search for it online and see if it has been released for your model already.