UserAgent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10_12_2) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/54.0.2840.87 Safari/537.36

Steps to reproduce the problem:
1. Install out of date Chrome under the local user applications folder: /Users/[Name]/Applications
2. Go to corner setting button > Help > About Google Chrome
3. Says: 
Version 54.0.2840.87 (64-bit)
 Google Chrome is up to date.

What is the expected behavior?
Chrome should detect the latest stable version and install it.

What went wrong?
The auto-update for Chrome does not work.

Did this work before? No 

Chrome version: 54.0.2840.87  Channel: stable
OS Version: OS X 10.12.2
Flash Version: Shockwave Flash 24.0 r0