Happy Independence Day!
I read a fun article at http://www.geneamusings.com. The author uses a website called https://www.relativefinder.org/ to discover which Declaration Signers he is related to. I gave it a try and this is just a portion of what the program generated for me.
It looks like I'm related to 32 signers including President John Adams and President Thomas Jefferson and John Hancock. BYU's RelativeFinder.org program can also help you discover your Mayflower connections, early LDS Pioneer heritage, U.S. Presidents, among a number of other choices.
One caveat to this program--since RelativeFinder.org taps into FamilySearch.org's Family Tree, the info you receive is only as good as the FamilySearch's worldwide family tree. Click on the above links and give RelativeFinder.org a try.