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Cf. A152235 (largest squarefree number dividing the number of divisors of n), A152453 (where records in occur in A152235), A007947 (largest squarefree number dividing n).

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(MAGMAMagma) R:=[]; r:=0; for n in [1..1300000] do a:=&*PrimeDivisors(NumberOfDivisors(n)); if r lt a then r:=a; Append(~R, a); end if; end for; print R;

OEIS Server: https://oeis.org/edit/global/2944

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Amiram Eldar, <a href="/A152452/b152452.txt">Table of n, a(n) for n = 1..87</a>

1, 2, 3, 6, 10, 15, 21, 30, 42, 70, 105, 110, 210, 330, 390, 462, 546, 770, 910, 1155, 1365, 2310, 2730, 3570, 3990, 4290, 4830, 5610, 6006, 6270, 6630, 7854, 10010, 15015, 30030, 39270, 43890, 46410, 51870, 53130, 62790, 67830, 72930, 81510, 82110, 84630, 102102

more,nonn

nonn

More terms from Amiram Eldar, Sep 01 2019

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