Smallest number beginning with 3 and having exactly n prime divisors counted with multiplicity.

Terms

a(0) =3a(1) =33a(2) =30a(3) =36a(4) =32a(5) =324a(6) =320a(7) =384a(8) =3200a(9) =3456a(10) =3072a(11) =31104a(12) =30720a(13) =36864a(14) =32768a(15) =331776a(16) =327680a(17) =393216a(18) =3276800a(19) =3538944a(20) =3145728a(21) =31850496a(22) =31457280a(23) =37748736a(24) =33554432a(25) =339738624a(26) =301989888a(27) =3057647616a(28) =3019898880a(29) =3623878656