A217533 Numbers n such that sum of 5th power of digits of n equals the sum of prime divisors of n.
22011, 50124, 220041, 704301, 1056225, 1101023, 1122254, 1404231, 2106855, 2130216, 2221110, 2351565, 3010353, 3130060, 3146247, 3169305, 3968808, 4053412, 4150651, 4213312, 4293261, 4351003, 4499068, 5053964, 5794602, 6277560
Offset: 1
Examples
22011 = 3*11*23*29 is in the sequence because 2^5 + 2^5 + 0^5 + 1^5 + 1^5 = 3 + 11 + 23 + 29 = 66.
Programs
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Mathematica
Rest[Select[Range[8000000], Total[Transpose[FactorInteger[#]][[1]]]==Total[IntegerDigits[#]^5]&]]
Comments