Six week old sleeping habits

Hi all! My little one is six weeks old today, and I'm exhausted! The most she has ever slept is three hours, but for the most part she wakes up every 1 1/2- 2 hours all night long. She naps during the day and has longer awake cycles than she used to, however wakes up SO much during the night. Her sleep has not improved at all since she was born. When she wakes up I feed her, change her diaper if needed and I try to always lay her down drowsy, not asleep. She generally will fall asleep and m her own easily after a minute or two.  we don't use a pacifier (she won't take it most of the time) I keep her in a swaddle blanket at night, and she is in an arms reach comskeeper, inches away from me. Is it normal for her to still be waking up so much at night?!