If it's 1.83 GHz and has never been upgraded, it's a Core Duo (32-bit) model and can use 2 GB RAM maximum. You'd have to upgrade the CPU to a Core 2 Duo (64-bit) to be able to use more RAM.
Which is indeed the case but if you think of it is kinda weird since the 32-bit Core Duo (Yonah) should be able to address 4Gb, let alone that it has PAE so in theory more ! That's Apple for you and sometimes somewhat random firmware limitations.
On the mini, I don't know if it was the 1,1->2,1 firmware update alone or in combination with the Core2 Duo CPU that allowed 4Gb, the flashing process needed to be done on a Core Duo, I somehow recall booting into SL before upgrading to the Core 2 Duo but I don't recall trying 4Gb on the Core Duo (it could be that I did try it on the Core Duo and that it didn't boot but I can't be sure), but certainly on the T7600 and successfully.
As a result that 4Gb T7600 2006 mini that I had found in a skip back then (as in 2007), having been discarded due to a broken PSU, SSD- and Blu-Ray -upgraded, lasted me until last year as a main media station until I had enough of having to juggle between SL, ML 32-bit NexPostFacto - great work @parrotgeek btw - and Yosemite depending on whether we were watching Netflix, Amazon Prime, Youtube, EyeTV or simply having it sleep which sadly isn't possible under Yosemite with the 10.6.2 64-bit beta GMA950 kext; but it's still going, my son is using it as his main machine. Rock solid machine in any case!
Btw which is why I'm wondering if there's anyway that rEFIt/rEFInd/OCLP can be used in some way to perform the hack we did in OF for the G5, but I don't know if any of those support any kind of comprehensive hardware/firmware control the likes of OF.