[seqfan] Are all sufficiently large highly abundant numbers practical?

[Peter Luschny]

Conjecture: (a) Every highly abundant number >10 is practical (A005153).
(b) For every integer k there exists A such that k divides a(n)
for all n>A. Daniel Fischer proved that every highly abundant
number greater than 3, 20, 630 is divisible by 2, 6, 12 respectively.
The first conjecture has been verified for the first 10000 terms.

- Jaycob Coleman, Oct 16 2013
https://oeis.org/A002093

Alaoglu and Erdös observed that 210 is the largest highly
abundant number to include only one factor of two in its
 prime factorization. All larger highly abundant numbers
 are divisible by four, and by the argument above they
 are all practical. The remaining cases are small enough
 to test individually, and they are all practical. So
 Jaycob Coleman's conjecture is true.

- David Eppstein, 2015-02-26
http://11011110.livejournal.com/305481.html