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A050225 1/3-Smith numbers. 2
6969, 19998, 36399, 39693, 66099, 69663, 69897, 89769, 99363, 99759, 109989, 118899, 181998, 191799, 199089, 297099, 306939, 333399, 336963, 339933, 363099, 396363, 397998, 399333, 399729, 588969, 606666, 606909, 639633, 660693, 666633 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

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

LINKS

Table of n, a(n) for n=1..31.

S. S. Gupta, Smith Numbers.

Eric Weisstein's World of Mathematics, Smith Numbers

EXAMPLE

6969 is a 3^(-1) Smith number because the digit sum of 6969, i.e., S(6969) = 6 + 9 + 6 + 9 = 30, which is equal to 3 times the sum of the digits of its prime factors, i.e., 3*Sp(6969) = 3 * Sp(3 * 23 * 101) = 3 *( 3 + 2 + 3 + 1 + 0 + 1) = 30.

CROSSREFS

Cf. A006753, A050224.

Sequence in context: A263287 A234111 A184228 * A237237 A251651 A050673

Adjacent sequences:  A050222 A050223 A050224 * A050226 A050227 A050228

KEYWORD

nonn,base

AUTHOR

Eric W. Weisstein

EXTENSIONS

More terms from Shyam Sunder Gupta, Mar 11 2005

STATUS

approved

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Last modified February 22 14:58 EST 2017. Contains 282487 sequences.