Fixed points when A008475 is iterated started at factorials of prime numbers.

Terms

a(0) =2a(1) =5a(2) =16a(3) =37a(4) =11a(5) =23a(6) =31a(7) =67a(8) =25a(9) =193a(10) =7a(11) =7a(12) =19a(13) =19a(14) =5939a(15) =27a(16) =13a(17) =11a(18) =11a(19) =503a(20) =15889a(21) =37a(22) =11a(23) =4651a(25) =8a(26) =13a(27) =11a(28) =25a(29) =79a(30) =19