- the SOD(n^2) is also a square

- the SOD(n^3) is also a cube

- the SOD(n^4) is also a fourth power

- n is NOT a power of 10

Please find A, B, and C where:

(Part 1) A is the smallest such integer.

(Part 2) B is the smallest such integer whose first digit is different than the first digit of A.

(Part 3) C is the smallest such integer whose first digit is different than the first digit of A or B.

** SOD(n) is the Sum Of Digits of n