Is your figure for private condos or government built?

Keep in mind Singapore has a higher PPP per capita than the US.

That's for private condos. 80% of people in Singapore live in government built public housing. The cost of the average public apartment is more like $300k which is not that bad for a city like Singapore.

As far as I can tell most comparisons for "the price of housing between Singapore and X" only look at private condos, probably because X doesn't have anything like Singapore's public flats to compare with for almost all values of X.

(When you "buy" a public apartment from the government, you get a 99 year lease, which you can resell. There are restrictions on buying public apartments, if I remember right you have to be a citizen or PR, and you have to be married or 35+. They cannot be bought by corporations.)