perplexus.info :: Just Math : Sum Squared Digits = Number

Sum Squared Digits = Number (Posted on 2010-10-16)

Determine all possible values of a duodecimal (base 12) positive integer N, such that N is obtained by adding the squares of its digits.

Bonus Question:
Determine all possible values of a octodecimal (base 18) positive integer N, such that N is obtained by adding the squares of its digits.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re: Possible solution

| Comment 3 of 4 |

(In reply to Possible solution by broll)

huh?

Nice analysis, Broll, except ...

A0 doesn't appear to be a solution

A0(12) = 120

A*A + 0*0 = 100

Posted by Steve Herman on 2010-10-16 20:20:02

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