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What I can find say something like this (with variations in the tens of thousands):
By 1941 there were ¬750K Jews on the Hungary.
60K were lost prior to '44. Most notably the 2nd Hungarian army had 42K Jews as forced laborer (well they would have been conscripted soldiers but they weren't allowed to have weapons, they served as workers in the army), ~35K of them died, disappeared or fallen as POWs at Voronezh (they fought against the Red Army as they could too). These were men in their prime, so as a labour it was great loss.
440K deported to Auschwitz, very few of them returned (no numbers given, not even guesses, they are treated as closed cases)
250K weren't deported, most of them survived, ~50K were sent to the Reich during early '45, few thousand(?) of them were killed during these "Death Marches". Few thousand(?) were also shot into the Danube during 44-45 winter.
The deportation was went on from 44 May to July, when governor Horthy stopped it. They say there were escaped Jews who returned and they told that the "labourers" were killed in gas chambers, and lo Horthy could see the Germans lied. However it was, the transports were stopped, it wasn't hard since Eichmann had liek 200 man, and most of the deportation was done by Hungarian gendarmerie.
It's not easy for me getting a Hungarian history book about the holocaust - which should discuss the question of the deported and their fate in details - the most popular torrent site where I can get warezed Hungarian ebooks doesn't seem to have books about the holocaust. Very redpilled.