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Your serial number indicates that your Winchester model 63 was made in the year 1947.
The only "direct hits" are Washington, D.C. (202) and Portland, OR (971). Illinois gets a "close, but not quite" for 618, which has 618xx ZIP Codes around Urbana, IL, just to the north of area code 618. Iowa gets a "CBNQ" for 515: area code 515 = Des Moines, ZIP Code 515 = Council Bluffs. Florida comes close for 321, with ZIP Code 321 for Astor, FL, just north of area code 321. California has several where the ZIP Code prefix and area code are in the same state, but not in the same part of the state. For example, AC 925 = Walnut Creek/ZIP 925 = Riverside. Also, if there were any ZIP Codes beginning with 909, they would be somewhere in southern California, near AC 909. In Wisconsin, area code 534 is Eau Claire and the northern part of the state, while ZIP 534 is Racine. In Missouri, area code 636 is St. Charles, and ZIP Code 636 is Cape Girardeau. Area code 660 in northern MO (excl. KC,MO) is close to Kansas City, KS, suburbs (ZIP 660).