Does this improper integral converge or diverge? (Comparison test)?

I am given the integral from 1 to infinity of x/Sqrt[1+x^6], and asked to determine if it converges or diverges. I tried using a larger function (1/Sqrt[1+x]), but when I evaluated the integral from 1 to infinity I found that it diverged, which doesn't help me. I need function smaller than x/Sqrt[1+x^6], because if it diverges then I know for sure the original function diverges. How do I find it?