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 A306313 Numbers such that the product of their digits is equal to 10 times the sum of their prime factors, without multiplicity. 0
 1584, 5616, 7452, 8256, 15698, 16956, 18525, 25662, 28512, 34935, 35152, 35275, 35581, 35748, 36584, 46225, 47265, 47594, 51842, 52374, 54479, 55223, 55348, 58432, 65712, 73125, 93875, 118465, 151632, 153615, 154462, 159712, 161785, 172577, 176225, 178754, 182596 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Similar to Rhonda numbers (A099542) where the multiplicity of the prime factors is taken into account. LINKS EXAMPLE 1584 = 2^4*3^2*11 and 1*5*8*4 = 160 = 10*(2+3+11). MAPLE with(numtheory): select(n->convert(convert(n, base, 10), `*`)=10*add(k, k=factorset(n)), [\$1..120000]); MATHEMATICA Select[Range[2*10^5], Times @@ IntegerDigits[#] == 10 Total[FactorInteger[#][[All, 1]] ] &] (* Michael De Vlieger, Feb 15 2019 *) CROSSREFS Cf. A099542. Sequence in context: A222164 A242539 A224945 * A053170 A237916 A159211 Adjacent sequences: A306310 A306311 A306312 * A306314 A306315 A306316 KEYWORD nonn,base,easy AUTHOR Paolo P. Lava, Feb 06 2019 STATUS approved

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Last modified March 24 20:36 EDT 2023. Contains 361510 sequences. (Running on oeis4.)