What is the code for 'brown' ?

'816321' means "The brown dog frightened the cat”,
‘64851' means "The frightened cat ran away”,
‘7621' means "The cat was brown",
'341' means "The dog ran"

All statements have the word "the" and all codes have "1"
Hence, "the" = 1

Sentences 1,2,3 have "cat" in common and the only common number in all 3 codes is 6
Hence, "cat"= 6

Statements 1 and 2 have frightened in common and only "8" left unassigned.
Hence, "frightened" = 8

Sentences 1 and 3 have "brown" in common now and only "2" in common
Hence, "brown" = 2