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SOD(power) = power (Posted on 2022-07-07) Difficulty: 3 of 5
For all three parts, consider integers with all of the following properties:
- 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

No Solution Yet Submitted by Larry    
Rating: 5.0000 (1 votes)

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  Subject Author Date
Solutioncomputer solutionCharlie2022-07-07 11:23:51
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