
Which sample frequency of time waveform data can be analyzed by 1 / N octave?

Data recorded at the following sample frequencies can be analyzed in 1 / N octaves.
      
      5.5125k,
        6k,
          8k,
            11.025k,
              12k,
                12.8k,
                  16k,
                    22.05k,
                      24k,
                        25.6k,
                          32k,
                            44.1k,
                              48k,
                                51.2k,
                                  64k,
                                    88.2k,
                                      96k,
                                        102.4k
                                          176.4k,
                                            192k,
                                              204.8k,
                                                256k,
                                                384k