How do I use the printer wirelessly without a router?
You can use Wi-Fi Direct to print without a router — make sure Wi-Fi Direct is enabled first. To check the status, network name, and password, touch the Wi-Fi Direct icon and then the Settings icon on the printer control panel display. For more information, visit www.hp.com/go/wifidirectprinting.
From the official HP Officejet 3830 All-in-One Printer manual, page 2
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