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 A343734 Highly composite 5-rough numbers: numbers that are divisible by neither 2 nor 3 whose number of divisors reaches a record. 1
 1, 5, 25, 35, 175, 385, 1225, 1925, 5005, 13475, 25025, 85085, 175175, 425425, 1616615, 2977975, 8083075, 32757725, 37182145, 56581525, 185910725, 622396775, 929553625, 1301375075, 4647768125, 5391411025, 14315125825, 26957055125, 37739877175, 134785275625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS EXAMPLE number of                                            divisors    n   a(n)  prime factorization of a(n)    of a(n)   --  -----  ----------------------------  ---------    1      1  -                                  1    2      5  5                                  2    3     25  5^2                                3    4     35  5   * 7                            4    5    175  5^2 * 7                            6    6    385  5   * 7   * 11                     8    7   1225  5^2 * 7^2                          9    8   1925  5^2 * 7   * 11                    12    9   5005  5   * 7   * 11   * 13             16   10  13475  5^2 * 7^2 * 11                    18   11  25025  5^2 * 7   * 11   * 13             24   12  85085  5   * 7   * 11   * 13   * 17      32 CROSSREFS Cf. A000005, A002182, A007310, A053624. Sequence in context: A070391 A084967 A249827 * A279541 A070390 A018724 Adjacent sequences:  A343731 A343732 A343733 * A343735 A343736 A343737 KEYWORD nonn AUTHOR Jon E. Schoenfield, Jun 14 2021 STATUS approved

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Last modified August 4 03:57 EDT 2021. Contains 346442 sequences. (Running on oeis4.)