This number calls 4-5 times a day, and once the voice (male) cuts it, it cuts off, leaving but a single word or two on voice mail - either a collection agency or multi-level marketing scheme

It's a collection agency called Global International.  
They have a website for consumers that are getting called:
http://www.globalcollection.net/Consumers.aspx

I got the call from this number today.  The recorded male voice said, This is not a solicitation.  If this is [............], press any key.  I'm principally opposed to answering recordings.  If someone wants to talk to me, CALL ME IN PERSON.

the number is fro global collections

It is a collection Agency called NCO Collections