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(* Assuming 3*10^5 <= k <= 3*10^8 *) ClearAll[cnt]; cnt[_] = 0; Do[ If[IntegerQ[n = k/DivisorSigma[0, k]], cnt[n]++; If[cnt[n] >= 4, Print[{n, k, cnt[n]}]]], {k, 3*10^5, 3*10^8}]; Select[Range[310000], cnt[#] >= 4 &] (* _Jean-François Alcover_, Sep 28 2012 *)
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Numbers k that can be written as k/d(k) in four or more ways, where d(k) = number of divisors of k.
From Jon E. Schoenfield, Feb 18 2021: (Start)
11264 is a term because it can be written as k/d(k) in four ways:
k = 360448: 360448/d(360448) = 360448/32 = 11264;
k = 585728: 585728/d(585728) = 585728/52 = 11264;
k = 630784: 630784/d(630784) = 630784/56 = 11264;
k = 1115136: 1115136/d(1115136) = 1115136/99 = 11264. (End)
Numbers k that can be written as k/d(k) in four or more ways, where d(k) = number of divisors of k.
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Numbers n that can be written as n = k/d(k) in four or more ways, where d(k) = number of divisors of k.
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