#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
using namespace std;
typedef long long LL;
int num;
inline LL mul(int i,int j)
{
LL temp=1;
for(int k=1;k<=j;k++)
temp*=i;
return temp;
}
int main()
{
// freopen("in.in","r",stdin);
//freopen("out.out","w",stdout);
LL x,xx,ans,f;
while(scanf("%lld",&x)!=EOF&&x)
{
f=0;xx=abs(x);
for(int i=2;i<=floor(sqrt(xx));i++)
{
f=0;
for(int j=2;j<40;j++)
{
LL temp=mul(i,j);
if(temp>xx) break;
if((temp==xx&&x>0)||(temp==xx&&x<0&&(j&1))) {f=1;ans=j;break;}
//cout<<"i "<<i<<" "<<"temp "<<temp<<" "<<"j "<<j<<endl;
}
if(f) {printf("%lld\n",ans);break;}
}
if(!f) printf("%d\n",1);
}
return 0;
}