|The correct model number is CQ60-104TU:|
The T3200 is a socket P processor so that is the type you'd have to look for. It runs at 667MHz FSB so you'll have to determine if the motherboard supports 800MHz or 1066MHz FSB processors, otherwise a CPU upgrade would be pointless. Why do you feel you need to upgrade the CPU anyway? What is it that your laptop can't do?
If you feel it's running slowly, have you checked for overheating? When's the last time you blew the dust out of the cooling vents? Do you regularly clear out temp files & other accumulated garbage? Do you scan for viruses & malware? Do you manage your startup apps? Have you cleared out all the HP crapware from the system? Do you defrag? Are you running a lightweight antivirus program - in other words, NOT McAfee or Norton? If you have a ton of crap on your system, a CPU upgrade isn't going to help. And if you clear out all the useless crap & tweak Win7 for best performance, you may find that a CPU upgrade is unnecessary.