Let Sn=∑k=1nk3S_n = \sum_{k=1}^{n} k^3Sn=∑k=1nk3. Which of the following values of nnn result in SnS_nSn being divisible by n2n^2n2?
n=3n = 3n=3
n=4n = 4n=4
n=5n = 5n=5
n=6n = 6n=6