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Smallest divisor of A002182(n) >= sqrt(A002182(n)).
2

%I #10 Aug 08 2024 06:44:45

%S 1,2,2,3,4,6,6,8,10,12,15,16,20,30,30,36,42,56,72,90,105,126,144,168,

%T 168,216,225,240,297,336,420,480,528,594,720,770,840,858,1080,1232,

%U 1485,1716,1925,2080,2574,2730,2970,3300,3850,4160,4680,5720,6120,6600,7854

%N Smallest divisor of A002182(n) >= sqrt(A002182(n)).

%H Amiram Eldar, <a href="/A152048/b152048.txt">Table of n, a(n) for n = 1..362</a>

%F a(n) = A002182(n) / A152047(n). - _Klaus Brockhaus_, Nov 27 2008

%F a(n) = A033677(A002182(n)). - _Amiram Eldar_, Aug 08 2024

%e a(9) = 10 because the ninth highly composite number is 60 and 10 is the smallest divisor of 60 >= sqrt(60). (Although 8 >= sqrt(60), 8 does not qualify because it is not a divisor of 60.)

%Y Cf. A002182, A033677, A152047.

%K nonn

%O 1,2

%A _J. Lowell_, Nov 21 2008

%E Extended beyond a(9) by _Klaus Brockhaus_, Nov 27 2008