In some systems, the number is broken: 31-25-926. 31 (inverse of 13), 25 (5²), 926 (area code for Michigan? Or 9+2+6=17). Or as a 7-digit dialing code from old telephone exchanges: 312 was Chicago area code. 5926 as local number. So 312-5926 is a partial Chicago phone number from the mid-20th century. That is historically plausible.
An aging factory worker sees 3125926 stamped on a capacitor he built in 1964 (the Ryan patent). That capacitor is now inside a deep-space probe. The number becomes his only connection to a mission that will outlast humanity.
