Hope this isn't a dumb question?
I've personally used the note 3 and I chose iPhone for a few reasons:
iPhone is smooth, it always runs smoothly and it's incredibly reliable. During my time with the note 3, it had some lag issues and crashes.
The sound quality of the headphones and speaker on the note 3 is sub-par compared to the iPhone. I haven't been able to find an android device with has both sound quality and volume that can compare to the iPhone
The screen on the note 3 is amoled, while the iPhone is ips. This means the note 3 will burn in eventually and leave the status bar and keys on the screen (this happened to me with an s3)
These are just a few reasons I chose the iPhone over the note 3. There are many, many other reasons. I hope this helps you out
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