It is an open question whether all numbers are either sociable or end up at a prime (and hence 1), or whether conversely there exists a number whose aliquot sequence never terminates.
Or equivalently, whether there exists a number whose aliquot sequence never terminates. It is an open question whether all numbers end up at either a sociable number or at a prime (and hence 1).
It is an open question whether all numbers end up at either a sociable number or at a prime (and hence 1). Or equivalently, whether there exists a number whose aliquot sequence never terminates.
It is an open question whether all numbers end up at either a sociable number or at a prime (and hence 1). Or equivalently, whether there exists a number whose aliquot sequence never terminates.