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2003 Cuba MO
7
S(S(S(2003^{2003})))., sum of digits
S(S(S(2003^{2003})))., sum of digits
Source: 2003 Cuba MO 2.7
September 15, 2024
number theory
sum of digits
Problem Statement
Let S(n) be the sum of the digits of the positive integer
n
n
n
. Determine
S
(
S
(
S
(
200
3
2003
)
)
)
.
S(S(S(2003^{2003}))).
S
(
S
(
S
(
200
3
2003
)))
.
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