Hodrick and Prescott suggest 1600 as a value for λ for quarterly data. Ravn and Uhlig (2002) state that λ should vary by the fourth power of the frequency observation ratio; thus, λ should equal 6.25 for annual data and 129,600 for monthly data
Ravn, Morten; Uhlig, Harald (2002). "On adjusting the Hodrick–Prescott filter for the frequency of observations". The Review of Economics and Statistics. 84 (2): 37.