/* math > number theory > prime numbers > prime factorization difficulty: easy date: 13/Feb/2020 by: @brpapa */ #include #include #include using namespace std; int sumDigits(int n) { int sum = 0; while (n > 0) { sum += n%10; n /= 10; } return sum; } int main() { int T; cin >> T; while (T--) { int n; cin >> n; for (int ans = n+1; true; ans++) { int tmp = ans; vector ansFactors; for (int f = 2; f <= sqrt(tmp) && tmp > 0; f++) while (tmp%f == 0) { ansFactors.push_back(f); tmp /= f; } if (ansFactors.empty()) continue; // ans é primo, logo não é smith if (tmp > 1) ansFactors.push_back(tmp); int sumFactorsDigits = 0; for (int f: ansFactors) sumFactorsDigits += sumDigits(f); if (sumDigits(ans) == sumFactorsDigits) { cout << ans << endl; break; } } } return 0; }