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A202239
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n such that the sum of the factorials of the digits of n equals the sum of d|n, 1<d<n.
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0
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620, 13407, 66061, 266533, 282401, 416641, 3507607, 7036153, 7622243, 10327663, 17735167, 34802143, 57653483, 86357113, 86546363, 91203611, 112777747, 121825337, 124283381, 127316869, 176080309, 216687451, 218172511, 231811037, 243238447, 263364883, 272368301
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OFFSET
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1,1
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LINKS
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FORMULA
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EXAMPLE
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620 is in the sequence because 6! + 2! + 0! = 720 + 2 + 1 = 723, and sum of the divisors 1< d< n = sigma(620) - n - 1 = 1344 - 620 - 1 = 723.
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MAPLE
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isA202239 := proc(n)
end proc:
for n from 1 do
if isA202239(n) then
print(n) ;
end if;
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MATHEMATICA
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Q[n_]:=Module[{a=Total[Rest[Most[Divisors[n]]]]}, a == Total[IntegerDigits[n]!]]; Select[Range[2, 10^8], Q]
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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