立方數 (cube number / perfect cube)
立方數又稱完全立方數。
若某正整數其立方根為整數,則稱之為立方數。
立方數有無限多個,表列前400個如下︰
1 | 1 | 101 | 1030301 | 201 | 8120601 | 301 | 27270901 |
2 | 8 | 102 | 1061208 | 202 | 8242408 | 302 | 27543608 |
3 | 27 | 103 | 1092727 | 203 | 8365427 | 303 | 27818127 |
4 | 64 | 104 | 1124864 | 204 | 8489664 | 304 | 28094464 |
5 | 125 | 105 | 1157625 | 205 | 8615125 | 305 | 28372625 |
6 | 216 | 106 | 1191016 | 206 | 8741816 | 306 | 28652616 |
7 | 343 | 107 | 1225043 | 207 | 8869743 | 307 | 28934443 |
8 | 512 | 108 | 1259712 | 208 | 8998912 | 308 | 29218112 |
9 | 729 | 109 | 1295029 | 209 | 9129329 | 309 | 29503629 |
10 | 1000 | 110 | 1331000 | 210 | 9261000 | 310 | 29791000 |
11 | 1331 | 111 | 1367631 | 211 | 9393931 | 311 | 30080231 |
12 | 1728 | 112 | 1404928 | 212 | 9528128 | 312 | 30371328 |
13 | 2197 | 113 | 1442897 | 213 | 9663597 | 313 | 30664297 |
14 | 2744 | 114 | 1481544 | 214 | 9800344 | 314 | 30959144 |
15 | 3375 | 115 | 1520875 | 215 | 9938375 | 315 | 31255875 |
16 | 4096 | 116 | 1560896 | 216 | 10077696 | 316 | 31554496 |
17 | 4913 | 117 | 1601613 | 217 | 10218313 | 317 | 31855013 |
18 | 5832 | 118 | 1643032 | 218 | 10360232 | 318 | 32157432 |
19 | 6859 | 119 | 1685159 | 219 | 10503459 | 319 | 32461759 |
20 | 8000 | 120 | 1728000 | 220 | 10648000 | 320 | 32768000 |
21 | 9261 | 121 | 1771561 | 221 | 10793861 | 321 | 33076161 |
22 | 10648 | 122 | 1815848 | 222 | 10941048 | 322 | 33386248 |
23 | 12167 | 123 | 1860867 | 223 | 11089567 | 323 | 33698267 |
24 | 13824 | 124 | 1906624 | 224 | 11239424 | 324 | 34012224 |
25 | 15625 | 125 | 1953125 | 225 | 11390625 | 325 | 34328125 |
26 | 17576 | 126 | 2000376 | 226 | 11543176 | 326 | 34645976 |
27 | 19683 | 127 | 2048383 | 227 | 11697083 | 327 | 34965783 |
28 | 21952 | 128 | 2097152 | 228 | 11852352 | 328 | 35287552 |
29 | 24389 | 129 | 2146689 | 229 | 12008989 | 329 | 35611289 |
30 | 27000 | 130 | 2197000 | 230 | 12167000 | 330 | 35937000 |
31 | 29791 | 131 | 2248091 | 231 | 12326391 | 331 | 36264691 |
32 | 32768 | 132 | 2299968 | 232 | 12487168 | 332 | 36594368 |
33 | 35937 | 133 | 2352637 | 233 | 12649337 | 333 | 36926037 |
34 | 39304 | 134 | 2406104 | 234 | 12812904 | 334 | 37259704 |
35 | 42875 | 135 | 2460375 | 235 | 12977875 | 335 | 37595375 |
36 | 46656 | 136 | 2515456 | 236 | 13144256 | 336 | 37933056 |
37 | 50653 | 137 | 2571353 | 237 | 13312053 | 337 | 38272753 |
38 | 54872 | 138 | 2628072 | 238 | 13481272 | 338 | 38614472 |
39 | 59319 | 139 | 2685619 | 239 | 13651919 | 339 | 38958219 |
40 | 64000 | 140 | 2744000 | 240 | 13824000 | 340 | 39304000 |
41 | 68921 | 141 | 2803221 | 241 | 13997521 | 341 | 39651821 |
42 | 74088 | 142 | 2863288 | 242 | 14172488 | 342 | 40001688 |
43 | 79507 | 143 | 2924207 | 243 | 14348907 | 343 | 40353607 |
44 | 85184 | 144 | 2985984 | 244 | 14526784 | 344 | 40707584 |
45 | 91125 | 145 | 3048625 | 245 | 14706125 | 345 | 41063625 |
46 | 97336 | 146 | 3112136 | 246 | 14886936 | 346 | 41421736 |
47 | 103823 | 147 | 3176523 | 247 | 15069223 | 347 | 41781923 |
48 | 110592 | 148 | 3241792 | 248 | 15252992 | 348 | 42144192 |
49 | 117649 | 149 | 3307949 | 249 | 15438249 | 349 | 42508549 |
50 | 125000 | 150 | 3375000 | 250 | 15625000 | 350 | 42875000 |
51 | 132651 | 151 | 3442951 | 251 | 15813251 | 351 | 43243551 |
52 | 140608 | 152 | 3511808 | 252 | 16003008 | 352 | 43614208 |
53 | 148877 | 153 | 3581577 | 253 | 16194277 | 353 | 43986977 |
54 | 157464 | 154 | 3652264 | 254 | 16387064 | 354 | 44361864 |
55 | 166375 | 155 | 3723875 | 255 | 16581375 | 355 | 44738875 |
56 | 175616 | 156 | 3796416 | 256 | 16777216 | 356 | 45118016 |
57 | 185193 | 157 | 3869893 | 257 | 16974593 | 357 | 45499293 |
58 | 195112 | 158 | 3944312 | 258 | 17173512 | 358 | 45882712 |
59 | 205379 | 159 | 4019679 | 259 | 17373979 | 359 | 46268279 |
60 | 216000 | 160 | 4096000 | 260 | 17576000 | 360 | 46656000 |
61 | 226981 | 161 | 4173281 | 261 | 17779581 | 361 | 47045881 |
62 | 238328 | 162 | 4251528 | 262 | 17984728 | 362 | 47437928 |
63 | 250047 | 163 | 4330747 | 263 | 18191447 | 363 | 47832147 |
64 | 262144 | 164 | 4410944 | 264 | 18399744 | 364 | 48228544 |
65 | 274625 | 165 | 4492125 | 265 | 18609625 | 365 | 48627125 |
66 | 287496 | 166 | 4574296 | 266 | 18821096 | 366 | 49027896 |
67 | 300763 | 167 | 4657463 | 267 | 19034163 | 367 | 49430863 |
68 | 314432 | 168 | 4741632 | 268 | 19248832 | 368 | 49836032 |
69 | 328509 | 169 | 4826809 | 269 | 19465109 | 369 | 50243409 |
70 | 343000 | 170 | 4913000 | 270 | 19683000 | 370 | 50653000 |
71 | 357911 | 171 | 5000211 | 271 | 19902511 | 371 | 51064811 |
72 | 373248 | 172 | 5088448 | 272 | 20123648 | 372 | 51478848 |
73 | 389017 | 173 | 5177717 | 273 | 20346417 | 373 | 51895117 |
74 | 405224 | 174 | 5268024 | 274 | 20570824 | 374 | 52313624 |
75 | 421875 | 175 | 5359375 | 275 | 20796875 | 375 | 52734375 |
76 | 438976 | 176 | 5451776 | 276 | 21024576 | 376 | 53157376 |
77 | 456533 | 177 | 5545233 | 277 | 21253933 | 377 | 53582633 |
78 | 474552 | 178 | 5639752 | 278 | 21484952 | 378 | 54010152 |
79 | 493039 | 179 | 5735339 | 279 | 21717639 | 379 | 54439939 |
80 | 512000 | 180 | 5832000 | 280 | 21952000 | 380 | 54872000 |
81 | 531441 | 181 | 5929741 | 281 | 22188041 | 381 | 55306341 |
82 | 551368 | 182 | 6028568 | 282 | 22425768 | 382 | 55742968 |
83 | 571787 | 183 | 6128487 | 283 | 22665187 | 383 | 56181887 |
84 | 592704 | 184 | 6229504 | 284 | 22906304 | 384 | 56623104 |
85 | 614125 | 185 | 6331625 | 285 | 23149125 | 385 | 57066625 |
86 | 636056 | 186 | 6434856 | 286 | 23393656 | 386 | 57512456 |
87 | 658503 | 187 | 6539203 | 287 | 23639903 | 387 | 57960603 |
88 | 681472 | 188 | 6644672 | 288 | 23887872 | 388 | 58411072 |
89 | 704969 | 189 | 6751269 | 289 | 24137569 | 389 | 58863869 |
90 | 729000 | 190 | 6859000 | 290 | 24389000 | 390 | 59319000 |
91 | 753571 | 191 | 6967871 | 291 | 24642171 | 391 | 59776471 |
92 | 778688 | 192 | 7077888 | 292 | 24897088 | 392 | 60236288 |
93 | 804357 | 193 | 7189057 | 293 | 25153757 | 393 | 60698457 |
94 | 830584 | 194 | 7301384 | 294 | 25412184 | 394 | 61162984 |
95 | 857375 | 195 | 7414875 | 295 | 25672375 | 395 | 61629875 |
96 | 884736 | 196 | 7529536 | 296 | 25934336 | 396 | 62099136 |
97 | 912673 | 197 | 7645373 | 297 | 26198073 | 397 | 62570773 |
98 | 941192 | 198 | 7762392 | 298 | 26463592 | 398 | 63044792 |
99 | 970299 | 199 | 7880599 | 299 | 26730899 | 399 | 63521199 |
100 | 1000000 | 200 | 8000000 | 300 | 27000000 | 400 | 64000000 |
前10000項立方數亦可參考OEIS的A000578
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