OFFSET
1,2
COMMENTS
Like A342012, also this sequence is monotonic. Proof: the doubling step corresponds here to step *2 + 1, and "bumping up" some of the prime factors likewise results a larger A156552-code, thus both steps keep the result growing.
The binary length of these numbers (A070939, = 1+A000523) grows by 0 or 1 at each step, thus the next colossally abundant number is always found on either on the same row (right of the current CA-number), or the next row of A329886, the row immediately below. The next CA-number will be on the same row only when its factorization contains neither a new prime nor yet another instance of prime 2.
LINKS
PROG
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen and Michael De Vlieger, Mar 08 2021
STATUS
approved