有一定的规律，都是27和37的整数倍，但又不是所有的这两个数倍数的倒数呈现三位纯循环小数的规律。n越大，符合条件的数字越少。
通过程序计算（附图），列出了2到1000000内所有符合条件的n，一共有124个。
No.是序号，也是个数。n是对应的自然数。c是循环节。
No. 001 n = 27 c = 370
No. 002 n = 37 c = 270
No. 003 n = 54 c = 185
No. 004 n = 74 c = 135
No. 005 n = 108 c = 925
No. 006 n = 111 c = 900
No. 007 n = 135 c = 740
No. 008 n = 148 c = 675
No. 009 n = 185 c = 540
No. 010 n = 222 c = 450
No. 011 n = 270 c = 370
No. 012 n = 333 c = 300
No. 013 n = 370 c = 270
No. 014 n = 444 c = 225
No. 015 n = 540 c = 185
No. 016 n = 555 c = 180
No. 017 n = 666 c = 150
No. 018 n = 675 c = 148
No. 019 n = 740 c = 135
No. 020 n = 925 c = 108
No. 021 n = 999 c = 100
No. 022 n = 1080 c = 925
No. 023 n = 1110 c = 900
No. 024 n = 1332 c = 750
No. 025 n = 1350 c = 740
No. 026 n = 1480 c = 675
No. 027 n = 1665 c = 600
No. 028 n = 1850 c = 540
No. 029 n = 1998 c = 500
No. 030 n = 2220 c = 450
No. 031 n = 2664 c = 375
No. 032 n = 2700 c = 370
No. 033 n = 2775 c = 360
No. 034 n = 3330 c = 300
No. 035 n = 3375 c = 296
No. 036 n = 3700 c = 270
No. 037 n = 3996 c = 250
No. 038 n = 4440 c = 225
No. 039 n = 4625 c = 216
No. 040 n = 4995 c = 200
No. 041 n = 5400 c = 185
No. 042 n = 5550 c = 180
No. 043 n = 6660 c = 150
No. 044 n = 6750 c = 148
No. 045 n = 7400 c = 135
No. 046 n = 7992 c = 125
No. 047 n = 8325 c = 120
No. 048 n = 9250 c = 108
No. 049 n = 9990 c = 100
No. 050 n = 10800 c = 925
No. 051 n = 11100 c = 900
No. 052 n = 13320 c = 750
No. 053 n = 13500 c = 740
No. 054 n = 13875 c = 720
No. 055 n = 14800 c = 675
No. 056 n = 15984 c = 625
No. 057 n = 16650 c = 600
No. 058 n = 16875 c = 592
No. 059 n = 18500 c = 540
No. 060 n = 19980 c = 500
No. 061 n = 22200 c = 450
No. 062 n = 23125 c = 432
No. 063 n = 24975 c = 400
No. 064 n = 26640 c = 375
No. 065 n = 27000 c = 370
No. 066 n = 27750 c = 360
No. 067 n = 33300 c = 300
No. 068 n = 33750 c = 296
No. 069 n = 37000 c = 270
No. 070 n = 39960 c = 250
No. 071 n = 41625 c = 240
No. 072 n = 44400 c = 225
No. 073 n = 46250 c = 216
No. 074 n = 49950 c = 200
No. 075 n = 54000 c = 185
No. 076 n = 55500 c = 180
No. 077 n = 66600 c = 150
No. 078 n = 67500 c = 148
No. 079 n = 69375 c = 144
No. 080 n = 74000 c = 135
No. 081 n = 79920 c = 125
No. 082 n = 83250 c = 120
No. 083 n = 92500 c = 108
No. 084 n = 99900 c = 100
No. 085 n = 108000 c = 925
No. 086 n = 111000 c = 900
No. 087 n = 115625 c = 864
No. 088 n = 124875 c = 800
No. 089 n = 133200 c = 750
No. 090 n = 135000 c = 740
No. 091 n = 138750 c = 720
No. 092 n = 148000 c = 675
No. 093 n = 159840 c = 625
No. 094 n = 166500 c = 600
No. 095 n = 168750 c = 592
No. 096 n = 185000 c = 540
No. 097 n = 199800 c = 500
No. 098 n = 208125 c = 480
No. 099 n = 222000 c = 450
No. 100 n = 231250 c = 432
No. 101 n = 249750 c = 400
No. 102 n = 266400 c = 375
No. 103 n = 270000 c = 370
No. 104 n = 277500 c = 360
No. 105 n = 333000 c = 300
No. 106 n = 337500 c = 296
No. 107 n = 346875 c = 288
No. 108 n = 370000 c = 270
No. 109 n = 399600 c = 250
No. 110 n = 416250 c = 240
No. 111 n = 444000 c = 225
No. 112 n = 462500 c = 216
No. 113 n = 499500 c = 200
No. 114 n = 540000 c = 185
No. 115 n = 555000 c = 180
No. 116 n = 624375 c = 160
No. 117 n = 666000 c = 150
No. 118 n = 675000 c = 148
No. 119 n = 693750 c = 144
No. 120 n = 740000 c = 135
No. 121 n = 799200 c = 125
No. 122 n = 832500 c = 120
No. 123 n = 925000 c = 108
No. 124 n = 999000 c = 100
