MathDB
S(S(S(2003^{2003})))., sum of digits

Source: 2003 Cuba MO 2.7

September 15, 2024
number theorysum of digits

Problem Statement

Let S(n) be the sum of the digits of the positive integer nn. Determine S(S(S(20032003))).S(S(S(2003^{2003}))).