When I tried 1, 2, 18, 26 on OEIS I got no hits, but 1, 3, 8, 9 yielded my full quota of 30. Alas, I fear that they are both finite in the present context, so won't make it into the Hall of Fame when Neil returns from his well-earned rest (though I don't believe that he ever takes one). They are the integer values of $\prod_{i=1}^n \frac{\sigma n}{n}$ and the values of n which make this an integer, where \sigma n is the sum of divisors function. How did I come to be thinking about this? Did someone mention it recently? Season's greetings R.