Problem no. 4

By factorizing $2014$ , we get that $2014=2\times 19\times 53$ $f(f(f(2014)))=f(f(74))$

By factorizing $74$ , we get that $74=2\times 37$ $f(f(74))=f(39)$

Finally, by factorizing $39$ , we get that $39=3\times 13$ $f(39)=16$

Hence, the value of $f(f(f(2014)))$ is $16$