So I saw the Bitcoin price dropping yet again so I figured I should transfer it to Gemini just in case it really started to tank. But my stupid fat fingers accidentally hit the "send without transaction tax" option and now my bitcoins are floating in space on the interwebs all by their lonesome. It's been 8 hours. I read somewhere that it can take up to 3 days if i'm correct? Well lesson learned, turn on the light and have some coffee before messing with my phone. 
You have heard that it can takes up to 3 days but I have heard that they can remain in air for to many more days. No one have interest to give confirmations to your bitcoins without earnings its "work" fee. Must be some generous person which will accept those and can make possible that your own again those. So you must pray to be someone such. Otherwise maybe you can have again your bitcoins even after months.
Well if worse comes to worst he can try to push txt the transaction to the network and have it rebroadcast again on a node to speed it up as he does have the tx to do it
https://blockchain.info/tx/5510f098fc1758fd80cbd2b4d581012a85824a9b059194398e812e7a2a78d905?show_adv=true
It's not usually done on small transactions but it does help sometimes with mid-size ones like the one he posted.
http://blog.blockchain.com/2014/07/08/tutorial-how-to-rebroadcast-a-bitcoin-transaction/