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A165209
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Number such that their digital sum is divisible by the digital sum of its divisors.
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0
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1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 17, 19, 22, 23, 26, 27, 29, 31, 33, 37, 39, 41, 43, 44, 46, 47, 53, 55, 59, 61, 62, 66, 67, 69, 71, 73, 77, 79, 81, 82, 83, 86, 88, 89, 93, 97, 99, 101, 103, 107, 109, 113, 121, 127, 131, 137, 139, 143, 149, 151, 157, 163, 167, 169, 173
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Subsequences of a(n) are primes (A000040) and numbers 1,4,6,8,9,22,26,27,... a(n) it deviates from (A072227), first different term is a(40), a(40) = 81, A072227(40)= 82. All first 65 terms of sequence A072227 is terms of sequence a(n). Sequence of different terms: 81, ..., ?
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EXAMPLE
| a(40) = 81, the divisors of 81 are 1, 3, 9, 27, 81, with digital sums 1, 3, 9, 9, 9 which all divide digital sum of 81, i.e 9.
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CROSSREFS
| Sequence in context: A106801 A175772 A124868 * A072227 A122427 A161597
Adjacent sequences: A165206 A165207 A165208 * A165210 A165211 A165212
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KEYWORD
| nonn,base
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AUTHOR
| Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Sep 07 2009
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