The Radical of the whole numbers from 2 to 257 [Le radical des nombres entiers de 2 à 257].




The function Radical(N) gives the product of the prime factors (with an exponent equals to 1) of N. For example:
                    N = 1960 = 23x51x72
                    Radical(1960) = 21x51x71 = 2x5x7 = 70


The horizontal and vertical axes display respectively the whole numbers N from 2 to 257 and their Radicals (all these values can be found inside the next table...).


N =   2 (prime number) Radical = N = 2
N =   3 (prime number) Radical = N = 3
N =   4 = 22 Radical = 21 = 2
N =   5 (prime number) Radical = N = 5
N =   6 = 21x31 Radical = 21x31 = 6
N =   7 (prime number) Radical = N = 7
N =   8 = 23 Radical = 21 = 2
N =   9 = 32 Radical = 31 = 3
N =  10 = 21x51 Radical = 21x51 = 10
N =  11 (prime number) Radical = N = 11
N =  12 = 22x31 Radical = 21x31 = 6
N =  13 (prime number) Radical = N = 13
N =  14 = 21x71 Radical = 21x71 = 14
N =  15 = 31x51 Radical = 31x51 = 15
N =  16 = 24 Radical = 21 = 2
N =  17 (prime number) Radical = N = 17
N =  18 = 21x32 Radical = 21x31 = 6
N =  19 (prime number) Radical = N = 19
N =  20 = 22x51 Radical = 21x51 = 10
N =  21 = 31x71 Radical = 31x71 = 21
N =  22 = 21x111 Radical = 21x111 = 22
N =  23 (prime number) Radical = N = 23
N =  24 = 23x31 Radical = 21x31 = 6
N =  25 = 52 Radical = 51 = 5
N =  26 = 21x131 Radical = 21x131 = 26
N =  27 = 33 Radical = 31 = 3
N =  28 = 22x71 Radical = 21x71 = 14
N =  29 (prime number) Radical = N = 29
N =  30 = 21x31x51 Radical = 21x31x51 = 30
N =  31 (prime number) Radical = N = 31
N =  32 = 25 Radical = 21 = 2
N =  33 = 31x111 Radical = 31x111 = 33
N =  34 = 21x171 Radical = 21x171 = 34
N =  35 = 51x71 Radical = 51x71 = 35
N =  36 = 22x32 Radical = 21x31 = 6
N =  37 (prime number) Radical = N = 37
N =  38 = 21x191 Radical = 21x191 = 38
N =  39 = 31x131 Radical = 31x131 = 39
N =  40 = 23x51 Radical = 21x51 = 10
N =  41 (prime number) Radical = N = 41
N =  42 = 21x31x71 Radical = 21x31x71 = 42
N =  43 (prime number) Radical = N = 43
N =  44 = 22x111 Radical = 21x111 = 22
N =  45 = 32x51 Radical = 31x51 = 15
N =  46 = 21x231 Radical = 21x231 = 46
N =  47 (prime number) Radical = N = 47
N =  48 = 24x31 Radical = 21x31 = 6
N =  49 = 72 Radical = 71 = 7
N =  50 = 21x52 Radical = 21x51 = 10
N =  51 = 31x171 Radical = 31x171 = 51
N =  52 = 22x131 Radical = 21x131 = 26
N =  53 (prime number) Radical = N = 53
N =  54 = 21x33 Radical = 21x31 = 6
N =  55 = 51x111 Radical = 51x111 = 55
N =  56 = 23x71 Radical = 21x71 = 14
N =  57 = 31x191 Radical = 31x191 = 57
N =  58 = 21x291 Radical = 21x291 = 58
N =  59 (prime number) Radical = N = 59
N =  60 = 22x31x51 Radical = 21x31x51 = 30
N =  61 (prime number) Radical = N = 61
N =  62 = 21x311 Radical = 21x311 = 62
N =  63 = 32x71 Radical = 31x71 = 21
N =  64 = 26 Radical = 21 = 2
N =  65 = 51x131 Radical = 51x131 = 65
N =  66 = 21x31x111Radical = 21x31x111 = 66
N =  67 (prime number) Radical = N = 67
N =  68 = 22x171 Radical = 21x171 = 34
N =  69 = 31x231 Radical = 31x231 = 69
N =  70 = 21x51x71 Radical = 21x51x71 = 70
N =  71 (prime number) Radical = N = 71
N =  72 = 23x32 Radical = 21x31 = 6
N =  73 (prime number) Radical = N = 73
N =  74 = 21x371 Radical = 21x371 = 74
N =  75 = 31x52 Radical = 31x51 = 15
N =  76 = 22x191 Radical = 21x191 = 38
N =  77 = 71x111 Radical = 71x111 = 77
N =  78 = 21x31x131Radical = 21x31x131 = 78
N =  79 (prime number) Radical = N = 79
N =  80 = 24x51 Radical = 21x51 = 10
N =  81 = 34 Radical = 31 = 3
N =  82 = 21x411 Radical = 21x411 = 82
N =  83 (prime number) Radical = N = 83
N =  84 = 22x31x71 Radical = 21x31x71 = 42
N =  85 = 51x171 Radical = 51x171 = 85
N =  86 = 21x431 Radical = 21x431 = 86
N =  87 = 31x291 Radical = 31x291 = 87
N =  88 = 23x111 Radical = 21x111 = 22
N =  89 (prime number) Radical = N = 89
N =  90 = 21x32x51 Radical = 21x31x51 = 30
N =  91 = 71x131 Radical = 71x131 = 91
N =  92 = 22x231 Radical = 21x231 = 46
N =  93 = 31x311 Radical = 31x311 = 93
N =  94 = 21x471 Radical = 21x471 = 94
N =  95 = 51x191 Radical = 51x191 = 95
N =  96 = 25x31 Radical = 21x31 = 6
N =  97 (prime number) Radical = N = 97
N =  98 = 21x72 Radical = 21x71 = 14
N =  99 = 32x111 Radical = 31x111 = 33
N = 100 = 22x52 Radical = 21x51 = 10
N = 101 (prime number) Radical = N = 101
N = 102 = 21x31x171 Radical = 21x31x171 = 102
N = 103 (prime number) Radical = N = 103
N = 104 = 23x131 Radical = 21x131 = 26
N = 105 = 31x51x71 Radical = 31x51x71 = 105
N = 106 = 21x531 Radical = 21x531 = 106
N = 107 (prime number) Radical = N = 107
N = 108 = 22x33 Radical = 21x31 = 6
N = 109 (prime number) Radical = N = 109
N = 110 = 21x51x111 Radical = 21x51x111 = 110
N = 111 = 31x371 Radical = 31x371 = 111
N = 112 = 24x71 Radical = 21x71 = 14
N = 113 (prime number) Radical = N = 113
N = 114 = 21x31x191 Radical = 21x31x191 = 114
N = 115 = 51x231 Radical = 51x231 = 115
N = 116 = 22x291 Radical = 21x291 = 58
N = 117 = 32x131 Radical = 31x131 = 39
N = 118 = 21x591 Radical = 21x591 = 118
N = 119 = 71x171 Radical = 71x171 = 119
N = 120 = 23x31x51 Radical = 21x31x51 = 30
N = 121 = 112 Radical = 111 = 11
N = 122 = 21x611 Radical = 21x611 = 122
N = 123 = 31x411 Radical = 31x411 = 123
N = 124 = 22x311 Radical = 21x311 = 62
N = 125 = 53 Radical = 51 = 5
N = 126 = 21x32x71 Radical = 21x31x71 = 42
N = 127 (prime number) Radical = N = 127
N = 128 = 27 Radical = 21 = 2
N = 129 = 31x431 Radical = 31x431 = 129
N = 130 = 21x51x131 Radical = 21x51x131 = 130
N = 131 (prime number) Radical = N = 131
N = 132 = 22x31x111 Radical = 21x31x111 = 66
N = 133 = 71x191 Radical = 71x191 = 133
N = 134 = 21x671 Radical = 21x671 = 134
N = 135 = 33x51 Radical = 31x51 = 15
N = 136 = 23x171 Radical = 21x171 = 34
N = 137 (prime number) Radical = N = 137
N = 138 = 21x31x231 Radical = 21x31x231 = 138
N = 139 (prime number) Radical = N = 139
N = 140 = 22x51x71 Radical = 21x51x71 = 70
N = 141 = 31x471 Radical = 31x471 = 141
N = 142 = 21x711 Radical = 21x711 = 142
N = 143 = 111x131 Radical = 111x131 = 143
N = 144 = 24x32 Radical = 21x31 = 6
N = 145 = 51x291 Radical = 51x291 = 145
N = 146 = 21x731 Radical = 21x731 = 146
N = 147 = 31x72 Radical = 31x71 = 21
N = 148 = 22x371 Radical = 21x371 = 74
N = 149 (prime number) Radical = N = 149
N = 150 = 21x31x52 Radical = 21x31x51 = 30
N = 151 (prime number) Radical = N = 151
N = 152 = 23x191 Radical = 21x191 = 38
N = 153 = 32x171 Radical = 31x171 = 51
N = 154 = 21x71x111 Radical = 21x71x111 = 154
N = 155 = 51x311 Radical = 51x311 = 155
N = 156 = 22x31x131 Radical = 21x31x131 = 78
N = 157 (prime number) Radical = N = 157
N = 158 = 21x791 Radical = 21x791 = 158
N = 159 = 31x531 Radical = 31x531 = 159
N = 160 = 25x51 Radical = 21x51 = 10
N = 161 = 71x231 Radical = 71x231 = 161
N = 162 = 21x34 Radical = 21x31 = 6
N = 163 (prime number) Radical = N = 163
N = 164 = 22x411 Radical = 21x411 = 82
N = 165 = 31x51x111 Radical = 31x51x111 = 165
N = 166 = 21x831 Radical = 21x831 = 166
N = 167 (prime number) Radical = N = 167
N = 168 = 23x31x71 Radical = 21x31x71 = 42
N = 169 = 132 Radical = 131 = 13
N = 170 = 21x51x171 Radical = 21x51x171 = 170
N = 171 = 32x191 Radical = 31x191 = 57
N = 172 = 22x431 Radical = 21x431 = 86
N = 173 (prime number) Radical = N = 173
N = 174 = 21x31x291 Radical = 21x31x291 = 174
N = 175 = 52x71 Radical = 51x71 = 35
N = 176 = 24x111 Radical = 21x111 = 22
N = 177 = 31x591 Radical = 31x591 = 177
N = 178 = 21x891 Radical = 21x891 = 178
N = 179 (prime number) Radical = N = 179
N = 180 = 22x32x51 Radical = 21x31x51 = 30
N = 181 (prime number) Radical = N = 181
N = 182 = 21x71x131 Radical = 21x71x131 = 182
N = 183 = 31x611 Radical = 31x611 = 183
N = 184 = 23x231 Radical = 21x231 = 46
N = 185 = 51x371 Radical = 51x371 = 185
N = 186 = 21x31x311 Radical = 21x31x311 = 186
N = 187 = 111x171 Radical = 111x171 = 187
N = 188 = 22x471 Radical = 21x471 = 94
N = 189 = 33x71 Radical = 31x71 = 21
N = 190 = 21x51x191 Radical = 21x51x191 = 190
N = 191 (prime number) Radical = N = 191
N = 192 = 26x31 Radical = 21x31 = 6
N = 193 (prime number) Radical = N = 193
N = 194 = 21x971 Radical = 21x971 = 194
N = 195 = 31x51x131 Radical = 31x51x131 = 195
N = 196 = 22x72 Radical = 21x71 = 14
N = 197 (prime number) Radical = N = 197
N = 198 = 21x32x111 Radical = 21x31x111 = 66
N = 199 (prime number) Radical = N = 199
N = 200 = 23x52 Radical = 21x51 = 10
N = 201 = 31x671 Radical = 31x671 = 201
N = 202 = 21x1011 Radical = 21x1011 = 202
N = 203 = 71x291 Radical = 71x291 = 203
N = 204 = 22x31x171 Radical = 21x31x171 = 102
N = 205 = 51x411 Radical = 51x411 = 205
N = 206 = 21x1031 Radical = 21x1031 = 206
N = 207 = 32x231 Radical = 31x231 = 69
N = 208 = 24x131 Radical = 21x131 = 26
N = 209 = 111x191 Radical = 111x191 = 209
N = 210 = 21x31x51x71 Radical = 21x31x51x71 = 210
N = 211 (prime number) Radical = N = 211
N = 212 = 22x531 Radical = 21x531 = 106
N = 213 = 31x711 Radical = 31x711 = 213
N = 214 = 21x1071 Radical = 21x1071 = 214
N = 215 = 51x431 Radical = 51x431 = 215
N = 216 = 23x33 Radical = 21x31 = 6
N = 217 = 71x311 Radical = 71x311 = 217
N = 218 = 21x1091 Radical = 21x1091 = 218
N = 219 = 31x731 Radical = 31x731 = 219
N = 220 = 22x51x111 Radical = 21x51x111 = 110
N = 221 = 131x171 Radical = 131x171 = 221
N = 222 = 21x31x371 Radical = 21x31x371 = 222
N = 223 (prime number) Radical = N = 223
N = 224 = 25x71 Radical = 21x71 = 14
N = 225 = 32x52 Radical = 31x51 = 15
N = 226 = 21x1131 Radical = 21x1131 = 226
N = 227 (prime number) Radical = N = 227
N = 228 = 22x31x191 Radical = 21x31x191 = 114
N = 229 (prime number) Radical = N = 229
N = 230 = 21x51x231 Radical = 21x51x231 = 230
N = 231 = 31x71x111 Radical = 31x71x111 = 231
N = 232 = 23x291 Radical = 21x291 = 58
N = 233 (prime number) Radical = N = 233
N = 234 = 21x32x131 Radical = 21x31x131 = 78
N = 235 = 51x471 Radical = 51x471 = 235
N = 236 = 22x591 Radical = 21x591 = 118
N = 237 = 31x791 Radical = 31x791 = 237
N = 238 = 21x71x171 Radical = 21x71x171 = 238
N = 239 (prime number) Radical = N = 239
N = 240 = 24x31x51 Radical = 21x31x51 = 30
N = 241 (prime number) Radical = N = 241
N = 242 = 21x112 Radical = 21x111 = 22
N = 243 = 35 Radical = 31 = 3
N = 244 = 22x611 Radical = 21x611 = 122
N = 245 = 51x72 Radical = 51x71 = 35
N = 246 = 21x31x411 Radical = 21x31x411 = 246
N = 247 = 131x191 Radical = 131x191 = 247
N = 248 = 23x311 Radical = 21x311 = 62
N = 249 = 31x831 Radical = 31x831 = 249
N = 250 = 21x53 Radical = 21x51 = 10
N = 251 (prime number) Radical = N = 251
N = 252 = 22x32x71 Radical = 21x31x71 = 42
N = 253 = 111x231 Radical = 111x231 = 253
N = 254 = 21x1271 Radical = 21x1271 = 254
N = 255 = 31x51x171 Radical = 31x51x171 = 255
N = 256 = 28 Radical = 21 = 2
N = 257 (prime number) Radical = N = 257



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