The total for October is 15% higher than the figure a year ago.
Department of Housing figures show it also includes a record number of children growing up in hotels and B&Bs.
3,991 children are growing up in B&Bs and hotels - with homeless charity Focus Ireland describing it as a "disgrace".
In Dublin - the issue is most acute - where there are 9,713 people registered as homeless - including more than 3,000 children.
The figure from the Department of Housing doesn't include rough sleepers, women in refuge centres, asylum seekers or refugees, or the so-called hidden homeless.
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