Today, it doesn't really matter. With the new modular Army, its the Brigades that count. Divisions are now just division HQs and brigades are plugged in under them.
For example, they will tell 3rd ID HQ that they are the HQ that will take charge of Northern Iraq. Then they tell them you will get for example, 2 Heavy Brigade Comat Teams, 1 Striker Brigade Comat Team, and 1 Infantry Brigade Team. Generally 2-3 of those Brigades will be from 3rd ID and the rest could come from anywhere. It depends who is ready to deploy. So its not like the old day's when we had whole division.
In the old days:
1AD, 1 CAV were Armor Divisions. That means they had 2 Brigades that were Armor Heavy (2 Armor battalion and 1 Mech Infantry battalion, so a total of 5 Armor Battalions, 4 Infantry Battalions).
1 ID, 3ID, and 4ID were Mech Infantry DIvisions with 5 Armor Battalions and 4 Tanks Battalions.
10th Mountain, 25 ID, 82nd ABN, were all regular light infantry (9 Light infantry battalions). 101st had the same organization as the light infantry divisions, but they had extra helicopter battalions giving them more helicopters then other divisions to include heavy divisions.
2nd ID was an exception. They had 1 Armor Brigade, 1 Mech Brigade and 1 Light Brigade because of the Korea missions.
All Mech and Heavy Brigades had a lot of things, support units, engineers, signal assets etc because they had more equipment and could move a lot faster on the ground.
The two brigades were light infantry brigades that were seperate from the divisions (3 light infantry battalions). Today I know 172nd is a Striker Brigade.
Thats it without getting detailed, but like I said, today its the brigade that matters more then the division with the modular concept.