What is the IUPAC name of the following compound?

The principal functional group in the given compound is the hydroxyl group ($-OH$), which has higher priority for nomenclature than the halogen group ($-Br$).

The longest continuous carbon chain contains 7 carbon atoms, so the parent alkane is heptane.

The carbon chain must be numbered from the end that gives the lowest possible locant to the principal functional group. Numbering from right to left assigns position 3 to the $-OH$ group and position 6 to the $-Br$ group. Numbering from left to right would assign position 5 to the $-OH$ group, which is incorrect.

With the bromo substituent at position 6 and the alcohol suffix at position 3, the IUPAC name is 6-bromoheptan-3-ol.

Answer: 6-Bromoheptan-3-ol