How quickly do colleges download the common app and update your application status report?

My son has applications into three colleges - two through the common app (submitted last week) and one through one of those priority status links sent directly from the college and submitted back to them two weeks ago. The two common app ones do not show any indication on his account status of what they have received and what they still need. The school that sent the priority status link still has not assigned him an account number to track his application (though they now are in receipt of all required documents). Is it just too early in the season for them to update this stuff?