%N Six consecutive integers with decreasing values of sigma start at these numbers: sigma(x) > sigma(x+1) > sigma(x+2) > sigma(x+3) > sigma(x+4) > sigma(x+5).
%C There are many examples of 4 consecutive numbers having decreasing values of sigma (see cross references) and there are 83 cases of 6 consecutive numbers with decreasing values of sigma < 4,293,000,000. Interestingly (and for unknown reasons) there are no examples of exactly 5 such consecutive numbers in that range! All known members of the sequence are multiples of 6 and one less than a multiple of 35.
%D David Wells, The Penguin Dictionary of Curious and Interesting Numbers, entry 44.
%e sigma(20021154)=40894848 > sigma(20021155)=35458560 > ... > sigma(20021159)=20021160
%Y Cf. A000203, A050944.
%A _Jud McCranie_, Jan 02 2000