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The_Liquid_Laser said:
Is September considered a 5-week month or a 4-week month?

5 weeks.  All quarter ends are 5 weeks.

Jan 4

Feb 4

Mar 5

Apr 4

May 4

Jun 5

Jul 4

Aug 4

Sep 5

Oct 4

Nov 4

Dec 5

That comes out to a clean 13 weeks per quarter, and 52 weeks per year (364 days).

Every 7 years or so, there will be an extra week tacked onto Dec or Jan in order to make sure the calendar doesn't fall too far out of alignment (364 days vs 365/366 days).