PROG
(MAGMAMagma) f:=func<n| Gcd(#Divisors(n^3), #Divisors(n))>; [k:k in [1..14000]| not IsIntegral(Log(2, f(k)))]; // Marius A. Burtea, Oct 18 2019
(MAGMAMagma) f:=func<n| Gcd(#Divisors(n^3), #Divisors(n))>; [k:k in [1..14000]| not IsIntegral(Log(2, f(k)))]; // Marius A. Burtea, Oct 18 2019
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The numbers of the form 4 * 3^(7m 7*m - 1), m >= 1, are terms. - Marius A. Burtea, Oct 18 2019
The numbers of the form 4 * 3^(7m - 1), m >= 1, are terms. - Marius A. Burtea, Oct 18 2019
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(MAGMA) f:=func<n| Gcd(#Divisors(n^3), #Divisors(n))>; [k:k in [1..14000]| not IsIntegral(Log(2, f(k)))]; // Marius A. Burtea, Oct 18 2019
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For n<100000,GCD gcd[d(n^3),d[n]] = {5,7,10,14,20,28,40,80} which is obtained for n={20736,576,432,2880,54000,20160,2160,15120} respectively.
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