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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 wikiPageRevisionID "553289928".
- Smith_number hasPhotoCollection Smith_number.
- Smith_number title "Smith Number".
- Smith_number urlname "SmithNumber".
- Smith_number subject Category:Base-dependent_integer_sequences.
- Smith_number subject Category:Lehigh_University.
- Smith_number type Abstraction100002137.
- Smith_number type Arrangement107938773.
- Smith_number type Base-dependentIntegerSequences.
- Smith_number type Group100031264.
- Smith_number type Ordering108456993.
- Smith_number type Sequence108459252.
- Smith_number type Series108457976.
- 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 "Liczba Smitha".
- Smith_number label "Nombre de Smith".
- Smith_number label "Numero di Smith".
- Smith_number label "Número de Smith".
- Smith_number label "Smith number".
- Smith_number label "Smith-Zahl".
- Smith_number label "Smithgetal".
- Smith_number label "Числа Смита".
- Smith_number label "スミス数".
- Smith_number label "史密夫數".
- Smith_number sameAs Smith-Zahl.
- Smith_number sameAs Número_de_Smith.
- Smith_number sameAs Nombre_de_Smith.
- Smith_number sameAs Numero_di_Smith.
- Smith_number sameAs スミス数.
- Smith_number sameAs Smithgetal.
- Smith_number sameAs Liczba_Smitha.
- Smith_number sameAs m.02yn0h.
- Smith_number sameAs Q1418132.
- Smith_number sameAs Q1418132.
- Smith_number sameAs Smith_number.
- Smith_number wasDerivedFrom Smith_number?oldid=553289928.
- Smith_number isPrimaryTopicOf Smith_number.