烙印 is read as らくいん (rakuin) and means brand.
らくいん
rakuin
らくいんをおされる
to be branded a ...
ちょういん
signature
けしいん
postmark
しるし
token (of gratitude, affection, etc.)
めじるし
trademark
やじるし
arrow (symbol)
みとめいん
private seal
しゅいん
red seal
はたじるし
design (on a banner)
しょういん
a seal affixed to a document
こくいん
brand (i.e. a mark of disgrace)
むじるし
unlabeled