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A249899
Numbers k such that sigma(k) contains the same digits as k in base 10.
2
1, 69, 211, 258, 270, 276, 433, 609, 639, 787, 877, 1021, 1201, 1231, 1255, 1291, 1321, 1433, 1621, 1721, 1787, 1877, 2011, 2111, 2131, 2141, 2161, 2204, 2311, 2391, 2411, 2556, 2676, 2711, 2931, 3121, 3343, 3409, 3413, 3433, 3463, 3554, 3643, 3678, 3679, 3877
OFFSET
1,2
COMMENTS
Supersequence of A115920 and A069216.
LINKS
EXAMPLE
211 is in the sequence because the set of digits of n {1, 2} equals the set of digits of sigma(211) = 212.
MATHEMATICA
Select[Range[4000], Union[IntegerDigits[DivisorSigma[1, #]]] == Union[ IntegerDigits[#]]&] (* Harvey P. Dale, Dec 29 2015 *)
PROG
(Magma) [n: n in [1..10^5] | Set(Intseq(n)) eq Set(Intseq(SumOfDivisors(n)))];
(PARI) isok(n) = Set(digits(n)) == Set(digits(sigma(n))); \\ Michel Marcus, May 27 2018
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Jan 05 2015
STATUS
approved