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A066410
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Maximal sum of divisors of any n-digit number.
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1
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15, 252, 3048, 34560, 403200, 4390848, 45732192, 487710720, 5079674880, 52124083200, 542890252800, 5618427494400, 58517854617600, 591272607744000, 6026281863275520, 60762014342184960, 623846047297536000, 6394202229664972800, 64417520701204070400, 652677739551129600000
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..20.
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EXAMPLE
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a(1) = 15 since sigma(8) is 15 and that is the record for 1-digit numbers.
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PROG
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(PARI): maxsigdig(m, n)= { local(d, a, k, b); for(d=m, n, a=0; for(k=10^d, 10^(d+1)-1, b=sigma(k); if(b>a, a=b)); print1(a, ", "))} maxsigdig(0, 7)
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CROSSREFS
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Cf. A000203, A066424.
Sequence in context: A331493 A093147 A218192 * A116508 A055659 A218368
Adjacent sequences: A066407 A066408 A066409 * A066411 A066412 A066413
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KEYWORD
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base,nonn
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AUTHOR
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Jason Earls, Dec 25 2001
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EXTENSIONS
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More terms from Vladeta Jovovic, Dec 26 2001
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STATUS
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approved
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