If the firmware number matches one of the numbers on this help page then you already have the update.
Also, if you can't find your Kindle on that second page then you don't need the update at all.
You’ll need to install the update to your e-reader manually.
That means not automatically via wireless or Wi-Fi, but rather by downloading the proper software version to your computer and connecting your Kindle to your PC via a USB cable.
While Microsoft’s Surface and Apple’s i Pad are among some of the best tablets out there, you still can’t go wrong with Amazon’s Kindle and Kindle Fire HD tablets and e-readers.
With the Kindle, you can download and read everything from books, to magazines, and even newspapers, while the Fire is perfect for those already deep in the Amazon ecosystem looking for a tablet that takes advantage of that.
At the core of your Kindle Paperwhite is a small computer run by firmware, complete with hardware, software, and a built-in network platform.
Depending on how long it's been since your Kindle connected to the internet, you may need to install one or more updates.
Each update will need to be installed one at a time, in the correct order.
The Fire HD and HDX have all the reading capabilities of the Kindle, but also provide access to internet browsing, video streaming, and more apps than you can count.
Like other tablets, the Kindle, Fire HD, and Fire HDX all receive occasional updates that add new features and improve security.