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A certain integer has 4 digits when written in base 8. The same integer has d digits when written in base 3. What is the sum of all possible values of d?

 Nov 28, 2020
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Smallest 4 digit base 8 number = 1000      = 51210 = 2002223

Largest 4 digit base 8               = 1111    = 58510 = 2102003   I think you can count 'd' now.....

 Nov 28, 2020

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