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- Smith_number abstract "A Smith number is a composite number for which, in a given base (in base 10 by default), the sum of its digits is equal to the sum of the digits in its prime factorization. For example, 378 = 2 × 3 × 3 × 3 × 7 is a Smith number since 3 + 7 + 8 = 2 + 3 + 3 + 3 + 7. In this definition the factors are treated as digits: for example, 22 factors to 2 × 11 and yields three digits: 2, 1, 1. Therefore 22 is a Smith number because 2 + 2 = 2 + 1 + 1.The first few Smith numbers are:4, 22, 27, 58, 85, 94, 121, 166, 202, 265, 274, 319, 346, 355, 378, 382, 391, 438, 454, 483, 517,526, 535, 562, 576, 588, 627, 634, 636, 645, 648, 654, 663, 666, 690, 706, 728, 729, 762, 778, 825, 852, 861, 895, 913, 915, 922, 958, 985, 1086 … (sequence A006753 in OEIS)Smith numbers were named by Albert Wilansky of Lehigh University. He noticed the property in the phone number (493-7775) of his brother-in-law Harold Smith: 4937775 = 3 × 5 × 5 × 65837, while 4 + 9 + 3 + 7 + 7 + 7 + 5 = 3 + 5 + 5 + 6 + 5 + 8 + 3 + 7 = 42.↑ ↑".
- Smith_number wikiPageExternalLink smith.htm.
- Smith_number wikiPageID "631045".
- Smith_number wikiPageLength "4612".
- Smith_number wikiPageOutDegree "61".
- Smith_number wikiPageRevisionID "674955349".
- Smith_number wikiPageWikiLink 1086_(number).
- Smith_number wikiPageWikiLink 121_(number).
- Smith_number wikiPageWikiLink 166_(number).
- Smith_number wikiPageWikiLink 202_(number).
- Smith_number wikiPageWikiLink 22_(number).
- Smith_number wikiPageWikiLink 260_(number).
- Smith_number wikiPageWikiLink 270_(number).
- Smith_number wikiPageWikiLink 27_(number).
- Smith_number wikiPageWikiLink 300_(number).
- Smith_number wikiPageWikiLink 400_(number).
- Smith_number wikiPageWikiLink 4_(number).
- Smith_number wikiPageWikiLink 500_(number).
- Smith_number wikiPageWikiLink 58_(number).
- Smith_number wikiPageWikiLink 600_(number).
- Smith_number wikiPageWikiLink 666_(number).
- Smith_number wikiPageWikiLink 700_(number).
- Smith_number wikiPageWikiLink 800_(number).
- Smith_number wikiPageWikiLink 85_(number).
- Smith_number wikiPageWikiLink 900_(number).
- Smith_number wikiPageWikiLink 94_(number).
- Smith_number wikiPageWikiLink Brady_Haran.
- Smith_number wikiPageWikiLink Category:Base-dependent_integer_sequences.
- Smith_number wikiPageWikiLink Category:Lehigh_University.
- Smith_number wikiPageWikiLink Composite_number.
- Smith_number wikiPageWikiLink Decimal.
- Smith_number wikiPageWikiLink Digit_sum.
- Smith_number wikiPageWikiLink Lehigh_University.
- Smith_number wikiPageWikiLink Prime_factor.
- Smith_number wikiPageWikiLink Radix.
- Smith_number wikiPageWikiLink Repunit.
- Smith_number wikiPageWikiLinkText "Smith brothers".
- Smith_number wikiPageWikiLinkText "Smith number".
- Smith_number title "Smith Number".
- Smith_number urlname "SmithNumber".
- Smith_number wikiPageUsesTemplate Template:As_of.
- Smith_number wikiPageUsesTemplate Template:Cite_book.
- Smith_number wikiPageUsesTemplate Template:Cite_web.
- Smith_number wikiPageUsesTemplate Template:E.
- Smith_number wikiPageUsesTemplate Template:MathWorld.
- Smith_number wikiPageUsesTemplate Template:OEIS.
- Smith_number wikiPageUsesTemplate Template:Reflist.
- Smith_number subject Category:Base-dependent_integer_sequences.
- Smith_number subject Category:Lehigh_University.
- Smith_number hypernym Number.
- Smith_number type University.
- Smith_number type University.
- Smith_number comment "A Smith number is a composite number for which, in a given base (in base 10 by default), the sum of its digits is equal to the sum of the digits in its prime factorization. For example, 378 = 2 × 3 × 3 × 3 × 7 is a Smith number since 3 + 7 + 8 = 2 + 3 + 3 + 3 + 7. In this definition the factors are treated as digits: for example, 22 factors to 2 × 11 and yields three digits: 2, 1, 1.".
- Smith_number label "Smith number".
- Smith_number sameAs Q1418132.
- Smith_number sameAs عدد_سميث.
- Smith_number sameAs Nombres_de_Smith.
- Smith_number sameAs Smith-Zahl.
- Smith_number sameAs Número_de_Smith.
- Smith_number sameAs Smithin_luku.
- Smith_number sameAs Nombre_de_Smith.
- Smith_number sameAs מספר_סמית.
- Smith_number sameAs Smith-szám.
- Smith_number sameAs Numero_di_Smith.
- Smith_number sameAs スミス数.
- Smith_number sameAs Смитов_број.
- Smith_number sameAs Smithgetal.
- Smith_number sameAs Liczba_Smitha.
- Smith_number sameAs m.02yn0h.
- Smith_number sameAs Числа_Смита.
- Smith_number sameAs Smithovo_število.
- Smith_number sameAs จำนวนสมิธ.
- Smith_number sameAs Q1418132.
- Smith_number sameAs 史密夫數.
- Smith_number wasDerivedFrom Smith_number?oldid=674955349.
- Smith_number isPrimaryTopicOf Smith_number.