If you backup your encrypted private keys to Dropbox, how long does your passphrase need to be (using only lowercase letters and numbers) to be safe from hackers?
If it's bip38 encrypted, it's actually pretty safe, even with a shorter password... however, i'd strongly advise to use a (very) strong password.
Read this thread for more info:
https://bitcointalk.org/index.php?topic=1014202Basically, this person created a bip38 encrypted paper wallet, encrypting the private key with the password "zLwMiR".
He then sent 1
BTC to the addres and posted the encrypted private key, the address and the fact that he only used a 6 letter password on this public forum. He also posted that the person who brute forced the password could spend the outputs (making brute forcing the password morally ok).
After 2 years, nobody managed to brute-force the password, so he closed the experiment.