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A348739
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Numbers k for which A326042(k) > k.
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7
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4, 9, 12, 16, 18, 25, 32, 36, 44, 48, 49, 64, 72, 81, 96, 99, 100, 108, 124, 144, 147, 162, 169, 176, 180, 192, 196, 225, 236, 243, 252, 256, 279, 284, 288, 300, 320, 324, 361, 372, 396, 400, 405, 432, 441, 448, 450, 468, 484, 486, 496, 507, 512, 529, 531, 567, 576, 588, 604, 612, 625, 639, 648, 675, 676, 700, 704
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OFFSET
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1,1
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COMMENTS
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Terms that occur also in A337386 are: 180, 300, 720, 900, 960, 1008, 1200, 1440, 1620, 1800, 2016, 2400, ...
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LINKS
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MATHEMATICA
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f1[2, e_] := 1; f1[p_, e_] := NextPrime[p, -1]^e; s1[1] = 1; s1[n_] := Times @@ f1 @@@ FactorInteger[n]; f2[p_, e_] := NextPrime[p]^e; s2[1] = 1; s2[n_] := Times @@ f2 @@@ FactorInteger[n]; Select[Range[700], s1[DivisorSigma[1, s2[#]]] > # &] (* Amiram Eldar, Nov 04 2021 *)
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PROG
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(PARI)
A003961(n) = my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); \\ From A003961
A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)};
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CROSSREFS
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Positions of negative terms in A348736.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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