A133997 a(n) = the smallest positive integer with exactly n positive "isolated divisors". A divisor, k, of n is isolated if neither (k-1) nor (k+1) divides n.

1, 3, 9, 15, 36, 45, 126, 96, 144, 120, 324, 240, 336, 432, 360, 480, 672, 864, 720, 840, 1260, 1008, 1080, 1920, 1440, 2040, 1680, 2016, 2160, 3024, 2880, 2520, 4620, 4200, 3360, 5544, 4320, 6048, 6300, 9072, 7200, 11700, 5040, 12096, 7920, 7560, 10800