Shoulder sleeve insignia (SSI) are cloth emblems worn on the shoulders of US Army uniforms to identify the primary headquarters to which a soldier is assigned. The SSI of some army divisions have become known in popular culture.
Airborne/infantry
Note: several insignia are of World War II formations.
Note: US infantry divisions were not formed under the following numbers:"53"; "54"; "56"; "57"; "58"; "60"; "64".
References
Division insignia of the United States Army Wikipedia(Text) CC BY-SA