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Search: id:A114440
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| A114440 |
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Numbers which divided by the sum of their digits [Harshad or Niven numbers] give integers which are also divided by the sum of their digits (until a single digit Harshad remains). |
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+0
1
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 21, 24, 27, 36, 42, 45, 48, 54, 63, 72, 81, 84, 108, 162, 216, 243, 324, 378, 405, 432, 486, 648, 756, 864, 972, 1296, 1458, 1944, 2916, 3402, 4374, 5832, 6804, 7290, 8748, 11664, 13122, 13608, 15552, 17496, 23328, 26244
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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There are 118 numbers in the sequence below 1.000.000.000 I dont know if the sequence is finite.
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LINKS
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Kornel, Ojciec i Syn.
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EXAMPLE
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E.g. The number 216 is a term of the sequence because is divisible by the sum of their digits: 2+1+6=9 216/9=24. Also, the successive quotients are divisible by the sum of their digits, until a single digit Harshad remains:
24: 2+4=6 24/6=4
4: 4/4=1
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CROSSREFS
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Cf. A005349, A097569.
Sequence in context: A130588 A079238 A079042 this_sequence A097518 A097569 A095160
Adjacent sequences: A114437 A114438 A114439 this_sequence A114441 A114442 A114443
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KEYWORD
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base,nonn
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AUTHOR
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Piotr K. Olszewski (piotrkornelolszewski(AT)poczta.onet.pl), Feb 14 2006
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