A141378 a(n) = the smallest positive integer non-coprime to both n and sigma(n), where sigma(n) is the sum of divisors of n.

6, 6, 14, 10, 2, 14, 6, 39, 2, 22, 2, 26, 2, 3, 62, 34, 3, 38, 2, 6, 2, 46, 2, 155, 2, 6, 2, 58, 2, 62, 6, 3, 2, 10, 14, 74, 2, 6, 2, 82, 2, 86, 2, 3, 2, 94, 2, 21, 6, 3, 2, 106, 2, 10, 2, 6, 2, 118, 2, 122, 2, 6, 254, 10, 2, 134, 2, 3, 2, 142, 3, 146, 2, 6, 2, 14, 2, 158, 2, 33, 2, 166, 2, 10