#include using namespace std; int n, m, op, x, y, a[300005]; int cnt, d[1000005], f[1000005], p[1000005]; bool v[1000005]; /** * Calculate the number of positive divisors of * positive integers from 1 to 1,000,000. */ void calc() { d[1] = 1; for (int i = 2; i <= 1000000; i++) { if (!v[i]) { v[i] = true; p[++cnt] = i; f[i] = 1; d[i] = 2; } for (int j = 1; j <= cnt && i * p[j] <= 1000000; j++) { v[i * p[j]] = true; if (i % p[j] == 0) { f[i * p[j]] = f[i] + 1; d[i * p[j]] = 1ll * d[i] / f[i * p[j]] * (f[i * p[j]] + 1); break; } f[i * p[j]] = 1; d[i * p[j]] = d[i] * 2; } } } // Segment Tree void pushup(int); void build(int, int, int); void modify(int, int, int); long long query(int, int, int); int main() { std::ios::sync_with_stdio(false); cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> a[i]; } build(1, 1, n); calc(); while (m--) { cin >> op >> x >> y; if (op == 1) { modify(1, x, y); } else { cout << query(1, x, y) << endl; } } return 0; } // === Segment Tree === struct node { int l, r; long long s, m; node() : l(0), r(0), s(0), m(0) {} node(int _l, int _r) : l(_l), r(_r), s(0), m(0) {} } tr[300005 << 2]; void pushup(int u) { tr[u].s = tr[u << 1].s + tr[u << 1 | 1].s; tr[u].m = std::max(tr[u << 1].m, tr[u << 1 | 1].m); } void build(int u, int l, int r) { tr[u] = node(l, r); if (l == r) { tr[u].s = tr[u].m = a[l]; return; } int mid = l + r >> 1; build(u << 1, l, mid); build(u << 1 | 1, mid + 1, r); pushup(u); } void modify(int u, int l, int r) { if (tr[u].m <= 2) return; if (tr[u].l == tr[u].r) { tr[u].s = tr[u].m = d[tr[u].s]; return; } int mid = tr[u].l + tr[u].r >> 1; if (l <= mid) modify(u << 1, l, r); if (r > mid) modify(u << 1 | 1, l, r); pushup(u); } long long query(int u, int l, int r) { if (l <= tr[u].l && tr[u].r <= r) return tr[u].s; int mid = tr[u].l + tr[u].r >> 1; long long sum = 0; if (l <= mid) sum += query(u << 1, l, r); if (r > mid) sum += query(u << 1 | 1, l, r); return sum; }