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A050225
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1/3-Smith Numbers.
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2
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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; internal format)
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OFFSET
| 1,1
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REFERENCES
| McDaniel, W. L., "The existence of infinitely many k- Smith numbers", Fibonacci Quarterly, 25(1987), pp. 76-80.
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LINKS
| S. S. Gupta, Smith Numbers.
Eric Weisstein's World of Mathematics, Smith Numbers
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EXAMPLE
| 6969 is a 3^(-1) Smith number because 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.
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CROSSREFS
| Cf. A006753, A050224, A006753.
Sequence in context: A183666 A028542 A184228 * A050673 A050663 A114615
Adjacent sequences: A050222 A050223 A050224 * A050226 A050227 A050228
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KEYWORD
| nonn,base
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
| More terms from Shyam Sunder Gupta (guptass(AT)rediffmail.com), Mar 11 2005
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