Absolute number of new transfers in a recent year:
USC: 1,448 https://admission.usc.edu/wp-content/uploads/Transfer-Profile-18_19.pdf
Cornell: 645 http://irp.dpb.cornell.edu/wp-content/uploads/2019/05/CDS_2018-2019_v5.pdf
Columbia: no CDS or other information published
For USC, 49% of new transfers came from California community colleges, 30% were scions/legacies, and 28% were first generation to college, but very few were military related (22 veterans, 2 active, 4 reserve or NG, 10 dependent).