Click link counter

I’ve a content type that includes a Link field. This link is for shared files on my website that Users wish to share with others. Users interested in a particular file simply click the static title “Click to download” to download the file.
I wish to have a counter logging the number of times a file is downloaded. I see many counters and calculated fields modules here, but none I’m aware of could do this counting. Could someone please refer me to such a module that might allow this.

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