#include<bits/stdc++.h>
namespace {
#pragma GCC diagnostic ignored "-Wunused-function"
#include<atcoder/all>
#pragma GCC diagnostic warning "-Wunused-function"
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--)
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; }
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;

template<class T>
vector<T> divisors(T x) {
  vector<T> res1, res2;
  T d = 1;
  for(; d * d < x; d++) {
    if (x % d == 0) {
      res1.emplace_back(d);
      res2.emplace_back(x / d);
    }
  }
  if (d * d == x) res1.emplace_back(d);
  res1.insert(res1.end(), res2.rbegin(), res2.rend());
  return res1;
}

// returns (len_of_cycle, first_in-cycle_index)
template<class S, class F>
std::pair<int, int> detect_cycle(F f, S x) {
    S p = x, q = x;
    int l = 0;
    int ub = 1;
    do {
        if (l == ub) {
            ub <<= 1;
            l = 0;
            p = q;
        }
        q = f(q);
        l++;
    } while(p != q);
    p = q = x;
    for(int it = l; it > 0; it--) q = f(q);
    int m = 0;
    while(p != q) p = f(p), q = f(q), m++;
    return {l, m};
}

} int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  constexpr int M = 100003;
  VI to(M);
  for (int d = 1; d < M; d++) {
    for (int i = d; i < M; i += d) to[i] += d;
  }
  rep(i, M) to[i] %= M;
  int n;
  ll k;
  cin >> n >> k;
  k--;
  if (k == 0) {
    cout << n << '\n';
    return 0;
  }
  {
    int nn = 0;
    for (int d : divisors(n)) nn += d;
    n = nn % M;
    k--;
  }
  auto [l, m] = detect_cycle([&](int i) { return to[i]; }, n);
  while (m && k) n = to[n], m--, k--;
  k %= l;
  while (k) n = to[n], k--;
  cout << n << '\n';
}