All i3 processors are dual core chips for scoket 1156 (with HT)
i5, 6XX series are dual core chips for socket 1156 (with HT)
i5 7XX series are quad core parts for socket 1156 (without HT)
i7 8XX series are quad core parts for socket 1156 (with HT)
i7 9XX series are quad core parts for socket 1366 (with HT) (apart from 980x which is a 6 core beast)
1156 supports dual channel DDR3 memory, socket 1156 cpus have 16 pcie 2 lanes built into the cpu, note that all other pcie lanes on intel socket 1156 motherboards (without 3rd party chips) are pcie revision 1
1366 supports triple channel DDR 3 memory, socket 1366 have access to upto 36 pcie 2.0 lanes
Note all i3 and i5 6 series cpus, have intel graphics built onto the chip, but must be used with a compatible motherboard (H55/H57 i think)
if you are thinking of buying purely for gaming, and/or threaded applications you get much better price/performance elsewhere
best gaming cpu for your money
http://www.tomshardware.co.uk/gaming-phenom-ii-corei-i5,review-31915.htmland to throw it in there
best graphics card for your money
http://www.tomshardware.co.uk/graphics-card-radeon,review-31911.html