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Some sum sod settlement (
Posted on 20110215
)
N is a positive base ten integer satisfying:
sod(N) + sod(sod(N)) + sod(sod(sod(N))) = 2007.
where, sod(N) denotes the sum of digits of N.
Determine the minimum value of N.
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Submitted by
K Sengupta
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a lower number
 Comment 2 of 4 
N doesn't need to be a multiple of nine; it could just be a multiple of three.
For instance, sod(N) = 1977 is a lower total than suggested in the last post.
1977 + 24 + 6 = 2007
I think that makes the minimum N 699999...999, where there are 219 nine's following the 6.
Posted by
Steve Herman
on 20110215 15:17:30
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