Search: id:A007594
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%I A007594 M4150
%S A007594 6,21,325,1950625
%N A007594 Smallest n-hyperperfect number: m such that m=n(sigma(m)-m-1)+1; or 0 
               if no such number exists.
%D A007594 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007594 D. Minoli, Issues in non-linear hyperperfect numbers, Math. Comp., 34 
               (1980), 639-645.
%D A007594 J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 177.
%H A007594 J. S. McCranie, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">
               A study of hyperperfect numbers, J. Int. Seqs. Vol. 3 (2000) #P00.1.3</
               a>
%Y A007594 Sequence in context: A054366 A143049 A164643 this_sequence A012858 A084539 
               A034124
%Y A007594 Adjacent sequences: A007591 A007592 A007593 this_sequence A007595 A007596 
               A007597
%K A007594 nonn
%O A007594 1,1
%A A007594 N. J. A. Sloane (njas(AT)research.att.com).
%E A007594 Jud McCranie (j.mccranie(AT)comcast.net) reports that the following terms 
               are known:
%E A007594 6,21,325,1950625,?,301,?,?,?,159841,10693,697,?,?,?,
%E A007594 69091933912976476978420033,?,1333,51301,?,?,
%E A007594 865004941741938633917612789573739286076451841,?,?,?,?,?
%E A007594 where the missing terms, if they exist, are > 10^11. The large terms 
               for 16 and 22 are the smallest known (7/98).

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