Java Server - Multiple ports?

I'm about to program a server but am wondering if what I have in mind is possible. My program will be outputting to multiple clients on multiple ports - each port can be accessed by multiple clients.

Normally I would use a threaded socket server, but in this case I need it working for multiple ports. The usage I have in mind is in a vague pseudocode below:

• Start server
• Listen for incoming connections on several ports
• Identify the port being connected to
  • If port 1, start a thread listening to client and outputting message type x
  • If port 2, start a thread listening to client and outputting message type y

Hopefully that makes some sense and you can see what I'm trying to do. Simply put: listen to selected ports, create a threaded socket connection based on which port is being connected to.

Is this doable at all, or am I going to end up multi-threading threaded socket servers?

Edit: Changed wording to better reflect the question.