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Natural numbers n with fewer digits than sigma(n).
1

%I #17 Mar 05 2015 14:37:15

%S 6,8,9,48,54,56,60,63,64,66,68,70,72,74,75,76,78,80,81,82,84,85,86,87,

%T 88,90,91,92,93,94,95,96,98,99,360,384,390,396,408,420,432,440,444,

%U 448,450,456,460,462,468,476,480,486,490,492,498,500,504,510,512,516,520

%N Natural numbers n with fewer digits than sigma(n).

%C This sequence is a comment on the referenced comment of R. K. Guy concerning the occurrence of 301-digit numbers.

%H R. K. Guy, <a href="https://listserv.nodak.edu/cgi-bin/wa.exe?A2=nmbrthry;f9a10ec4.0409">Re: Odd Perfect Numbers</a>, Sep 23 2004 post to NMBRTHRY mailing list.

%e 6 is in the sequence because 1, the number of digits in 6, is less than 2, the number of digits in 12 = sigma(6).

%o (PARI) isok(n) = length(digits(n, 10)) < length(digits(sigma(n), 10)) \\ _Michel Marcus_, Jul 23 2013

%Y Cf. A000203, A099103.

%K base,easy,nonn

%O 1,1

%A _Walter Nissen_, Sep 25 2004