US tradition is, due to historical reasons...
Regiments are numbered within type or state - IE, 1st Cavalry, 1st Infantry, 11th Maine (Infantry), 7th Virginia (infantry). Many gaps exist, and at some periods, excepting units with historical honors, renumbered to be straight numbered
Companies are lettered within the regiment or battalion.
Platoons numbered within the company
Squads numbered within the platoon.
Battalions are numbered within the regiment or brigade; the regiment was unused for some time.
High commands (brigade and up) from about 1870 on were numbered within level, but if disbanded, often not reused. Prior, named for commanding general or forming state.
Armies were assigned names by theater, as were theater commands of Corps size.
Note that if you see a number and type without size, EG, 39th Infantry, it's usually a regiment. if a specific battalion, it prepends with a hyphen: 3-39 Inf is 3rd Battalion 39th Infantry Regiment.
Company letters prepend this: C-3-39 Inf is Company Charlie, 3rd Battalion, 39th Infantry Regiment. (Was my BT company) 1-3-C-3-39 Inf would be 1st squad, 3rd plt...
Higher commands don't use this shorthand; The level is almost always present in the descriptor.
UK 19th C use was to Number the Regiment - the numbers being UK wide, and the Battalion within the regiment, and the companies within the Battalion, but some companies were named by type (and limited to one company in the battalion)... such as dragoons in an infantry battalion. Note that a regiment did not field as such (usually) but the few times the RA did, it was formed as a brigade with a Brigadier (colonel or general) appointed.
Regiments are numbered within type or state - IE, 1st Cavalry, 1st Infantry, 11th Maine (Infantry), 7th Virginia (infantry). Many gaps exist, and at some periods, excepting units with historical honors, renumbered to be straight numbered
Companies are lettered within the regiment or battalion.
Platoons numbered within the company
Squads numbered within the platoon.
Battalions are numbered within the regiment or brigade; the regiment was unused for some time.
High commands (brigade and up) from about 1870 on were numbered within level, but if disbanded, often not reused. Prior, named for commanding general or forming state.
Armies were assigned names by theater, as were theater commands of Corps size.
Note that if you see a number and type without size, EG, 39th Infantry, it's usually a regiment. if a specific battalion, it prepends with a hyphen: 3-39 Inf is 3rd Battalion 39th Infantry Regiment.
Company letters prepend this: C-3-39 Inf is Company Charlie, 3rd Battalion, 39th Infantry Regiment. (Was my BT company) 1-3-C-3-39 Inf would be 1st squad, 3rd plt...
Higher commands don't use this shorthand; The level is almost always present in the descriptor.
UK 19th C use was to Number the Regiment - the numbers being UK wide, and the Battalion within the regiment, and the companies within the Battalion, but some companies were named by type (and limited to one company in the battalion)... such as dragoons in an infantry battalion. Note that a regiment did not field as such (usually) but the few times the RA did, it was formed as a brigade with a Brigadier (colonel or general) appointed.