(TMZ) George Zimmerman was on the hunt today -- for a shotgun ... TMZ has learned.

Zimmerman went to Kel-Tec in Cocoa, Florida ... a gun manufacturing company.  We're told he was asking questions about the legality of buying a shotgun -- specifically, the Kel-Tec KSG.

The gun in question is a tactical shotgun, often used for home defense.  It holds 12 rounds of 12 gauge shells.

And this is interesting ... Kel-Tec manufactures the PF-9 gun -- the pistol Zimmerman used to kill Trayvon Martin.

We're told the owner's son took Zimmerman on a tour of the grounds, including the area where the firearms are assembled.

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