Nonexistence conjecture for odd Kalita–Saikia near superperfect numbers

Let a Kalita–Saikia near superperfect number mean a number that is both a Kalita–Saikia number and a near superperfect number. Nonexistence conjecture. There are no odd Kalita–Saikia near superperfect numbers. The conjecture is proposed as a consequence of the restrictive prime-collision conditions arising for odd near superperfect numbers, together with the relevance of the Goormaghtigh conjecture. Whether such odd numbers exist remains open.