As many of us realize, serial numbers are not always a reliable method to date a Bear Kodiak, partially because humans sometimes made mistakes in writing numbers on bows.
The highest serial number I have ever seen on a Static Kodiak was under 20000 (5 digits after the K-4) indicating 20,000 bows. It is possible more than 20,000 were made and that a slightly higher numbered bow exists.
Your number K-4-113271 has 6 digits after the K-4, indicating 113,271. Seems 13,271 would be a realistic number that one would expect to see on a 1953, Red Glass Back & Belly.
If the number were 11327 it too would fall within the range of expected serial numbers for a K-4.
I'm guessing someone put an extra "1" before or after the intended serial number.
I've learned that almost any thing is possible to turn up on an old Kodiak.