chown changes the owner, it doesn't make the binary run as the file owner.
chmod u+s will do that however.
chmod g+s will make the binary run with the file group permission on some systems as well (you don't mention what system you're running). These flags have very different effects on other files and especially folders. You should take a good long look at
man chmod and
man chown before diving in.
Also you should strongly consider using
sudo instead of making the binary suid. When a binary is suid, anyone who can access the binary can run it as the file's owner. If you accidentally give a normal user write permissions to the binary, then they could replace it with anything that want and run it as root.
sudo solves these security problems at the cost of requiring the user to prepend
sudo to commands they want to run as root. You also have to setup the sodoers file with approproiate permissions.