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A066410 Maximal sum of divisors of any n-digit number. 1

%I #8 Dec 15 2017 17:35:46

%S 15,252,3048,34560,403200,4390848,45732192,487710720,5079674880,

%T 52124083200,542890252800,5618427494400,58517854617600,

%U 591272607744000,6026281863275520,60762014342184960,623846047297536000,6394202229664972800,64417520701204070400,652677739551129600000

%N Maximal sum of divisors of any n-digit number.

%e a(1) = 15 since sigma(8) is 15 and that is the record for 1-digit numbers.

%o (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)

%Y Cf. A000203, A066424.

%K base,nonn

%O 1,1

%A _Jason Earls_, Dec 25 2001

%E More terms from _Vladeta Jovovic_, Dec 26 2001

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