I had this problem, on both the note and my old iphone, think its a google problem.
I had spent hours sorting out my contacts, then found that they had not updated online. Had to delete the google account on the phone, and re connect it, synced fine after that.
Then changed 3 contacts, same problem. Went online and sorted all my contacts out through my laptop and not had the problem since. I think it happens when multiple contacts are changed in the phone, google does not sync it and the sync stops. Easy to fix but real pita if you have changed a lot of contacts in the phone....you have to repeat the exercise.
.......if its any help, I was adding contacts from the email accounts that I regularly use but did not have contact names.......and deleting contacts that I have not used for years.