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- Self_number abstract "A self number, Colombian number or Devlali number is an integer which, in a given base, cannot be generated by any other integer added to the sum of that other integer's digits. For example, 21 is not a self number, since it can be generated by the sum of 15 and the digits comprising 15, that is, 21 = 15 + 1 + 5. No such sum will generate the integer 20, hence it is a self number. These numbers were first described in 1949 by the Indian mathematician D. R. Kaprekar.The first few base 10 self numbers are: 1, 3, 5, 7, 9, 20, 31, 42, 53, 64, 75, 86, 97, 108, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 211, 222, 233, 244, 255, 266, 277, 288, 299, 310, 312, 323, 334, 345, 356, 367, 378, 389, 400, 411, 413, 424, 435, 446, 457, 468, 479, 490, 501, 512, 514, 525 (sequence A003052 in OEIS) A search for self numbers can turn up self-descriptive numbers, which are similar to self numbers in being base-dependent, but quite different in definition and much fewer in frequency.".
- Self_number wikiPageID "880483".
- Self_number wikiPageRevisionID "574796568".
- Self_number hasPhotoCollection Self_number.
- Self_number title "Self Number".
- Self_number urlname "SelfNumber".
- Self_number subject Category:Base-dependent_integer_sequences.
- Self_number type Abstraction100002137.
- Self_number type Arrangement107938773.
- Self_number type Base-dependentIntegerSequences.
- Self_number type Group100031264.
- Self_number type Ordering108456993.
- Self_number type Sequence108459252.
- Self_number type Series108457976.
- Self_number comment "A self number, Colombian number or Devlali number is an integer which, in a given base, cannot be generated by any other integer added to the sum of that other integer's digits. For example, 21 is not a self number, since it can be generated by the sum of 15 and the digits comprising 15, that is, 21 = 15 + 1 + 5. No such sum will generate the integer 20, hence it is a self number. These numbers were first described in 1949 by the Indian mathematician D. R.".
- Self_number label "Auto nombre".
- Self_number label "Numero colombiano".
- Self_number label "Self number".
- Self_number label "Самопорождённые числа".
- Self_number label "自我数".
- Self_number sameAs Auto_nombre.
- Self_number sameAs Numero_colombiano.
- Self_number sameAs m.03l893.
- Self_number sameAs Q2623827.
- Self_number sameAs Q2623827.
- Self_number sameAs Self_number.
- Self_number wasDerivedFrom Self_number?oldid=574796568.
- Self_number isPrimaryTopicOf Self_number.