When I applied to take the NCLEX-Rn it took about 2 weeks after I graduated. I had sent in my application about a month before I actually graduated. I remember that I was listed as "pending" about three weeks after I sent in my app. Hope this helps.
Update, i got my ATI one week after i sent it in... wow fast.. then i took the NCLEX 2 days later.... Today i got my results.... I PASSED!!!!!!!!!!
it went by very fast for me.. guess it was time things went well for me!!