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 A083389 Numbers n such that the number formed by the digits of 2n sorted in descending order is equal to the sum of the divisors of n after the digits of each divisor have been sorted in descending order (all zeros dropped). 0
 37, 163, 397, 4789, 16633, 19603, 19963, 31663, 48799, 49789, 166303, 169633, 196003, 199603, 478999, 489799, 497899, 497989, 499879, 1696033, 1966303, 1969633, 1999603, 3016963, 3019663, 3169603, 3169963, 4789999, 4798999 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primes with certain digits and various combinations of those digits along with any number of zeros inserted are members. E.g., primes of the form 196(0_z)3, or 3+49*2^(n+2)*5^n for n>1, etc. are in this sequence. LINKS Table of n, a(n) for n=1..29. EXAMPLE a(2)=163 because the digits of 2*163 sorted descending are 632; the divisors of 163 are [1, 163] and 1+631 = 632. CROSSREFS Sequence in context: A296156 A250842 A374273 * A142909 A269259 A269859 Adjacent sequences: A083386 A083387 A083388 * A083390 A083391 A083392 KEYWORD base,nonn AUTHOR Jason Earls, Jun 11 2003 EXTENSIONS More terms from Sean A. Irvine, May 27 2010 STATUS approved

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Last modified August 3 18:57 EDT 2024. Contains 374899 sequences. (Running on oeis4.)