Sam refuses to retire until his retirement account has a balance of at least $$443,614.$ Sam refuses to make any more deposits in the account. The account currently has a balance of $$146,085$ and earns $6\%$ per year, compounded semi$-$annually. How long does Sam have before he will retire?

You are computing number of years. Round your answer to one decimal place. For example, record $14\mathrm{.}294$ years as $14\mathrm{.}3.$