A084685 a(n) is the least x such that length of fixed-point-list when function-A085307[] was iterated and started at a(n) equals n.
2, 4, 6, 14, 22, 115, 55, 105, 155, 145, 341, 501, 489, 143, 437, 301, 395, 665
Offset: 1
Examples
Some lists of iterated values started at a(n):
n=1: a(1)=first prime; n=2: a(2)=first true prime factor;
n=3: a(3)=first 2^j.3^i number, that is 6;
n=5: {22,112,72,32,2}
n=12: length=a(12); iv=501; fixed-point=1354674597313; list as follows
{501, 1673, 2397, 47173, 293237, 2571637, 23593109, 273116353, 522211523, 8866073119, 57914987307, 1354674597313}