House prices rose by just 0.1% last month, according to the latest research from Nationwide.
Those seeking retirement properties for sale and other kinds of home saw the average UK house price reach £166,256 during the month. This compared to August's figure of £165,914.
Commenting on the data, Nationwide chief economist Robert Gardner said relatively flat house prices have been recorded over the course of 2011.
He added: "We expect this trend to be maintained over the remainder of 2011, although downside risks have increased as UK and global growth prospects have weakened."
A separate survey from LV= recently revealed that, despite the country's flat house prices, many older people aim to use the equity tied up in their home as part of their retirement planning.
The firm's research showed that around a third of those over 50 now intend to boost their retirement income with the aid of home equity.