1,1

McDaniel, W. L., "The Existence of infinitely Many k- Smith numbers", Fibonacci Quarterly, 25(1987), pp. 76-80.

S. S. Gupta, Smith Numbers.

399996663 is a 5^(-1) Smith number because digit sum of 399996663 i.e. S(399996663) = 3 + 9 + 9 + 9 +9 + 6 + 6 + 6 + 3=60, which is equal to 5 times the sum of the digits of its prime factors i.e.5x Sp (399996663) =5 x Sp (3 x 11 x 101 x 120011) = 5 x( 3 + 1 + 1+ 1 + 0 + 1 + 1 + 2 + 0+ 0 + 1 + 1) = 60.

Cf. A006753.

Sequence in context: A015369 A103773 A108212 this_sequence A038132 A101770 A166024

Adjacent sequences: A103121 A103122 A103123 this_sequence A103125 A103126 A103127

base,nonn

Shyam Sunder Gupta (guptass(AT)rediffmail.com), Mar 16 2005