Sechseckszahlen (Hexagonalzahl)

Einleitung

Eine Sechseckszahl, die auch als Hexagonalzahl bezeichnen wird, leitet sich von der geometrischen Figur des Sechsecks ab. Man kann Sechseckzahlen in einandergeschachtelte Sechsecke mit steigender Kantenlänge legen lassen. Man zählt sie zusammen mit den Dreieckszahlen, Quadratzahlen und Fünfeckszahlen zur Klasse der Polygonalzahlen.

Formel

Man kann allgemein jede Sechseckszahl einer natürliche Zahl n mit folgender Formel berechnen.
Formel für eine Sechseckszahl n

Beispiel:
Beispiel einer Berechnung der Sechseckszahl von 5

Verzeichnis

 

Sechseckszahl von 0


Hier finden Sie die Sechseckszahl von 0.
Bei einigen Autoren ist die Null keine Sechseckszahl, sodass die Zahlenfolge erst mit der Eins beginnt.

s0 = 0

 

Sechseckszahlen von 1 bis 100


Hier finden Sie eine Liste der Sechseckszahlen von 1 bis 100.

s1 → s10 s1 = 1s2 = 6s3 = 15s4 = 28s5 = 45s6 = 66s7 = 91s8 = 120s9 = 153s10 = 190
s11 → s20 s11 = 231s12 = 276s13 = 325s14 = 378s15 = 435s16 = 496s17 = 561s18 = 630s19 = 703s20 = 780
s21 → s30 s21 = 861s22 = 946s23 = 1035s24 = 1128s25 = 1225s26 = 1326s27 = 1431s28 = 1540s29 = 1653s30 = 1770
s31 → s40 s31 = 1891s32 = 2016s33 = 2145s34 = 2278s35 = 2415s36 = 2556s37 = 2701s38 = 2850s39 = 3003s40 = 3160
s41 → s50 s41 = 3321s42 = 3486s43 = 3655s44 = 3828s45 = 4005s46 = 4186s47 = 4371s48 = 4560s49 = 4753s50 = 4950
s51 → s60 s51 = 5151s52 = 5356s53 = 5565s54 = 5778s55 = 5995s56 = 6216s57 = 6441s58 = 6670s59 = 6903s60 = 7140
s61 → s70 s61 = 7381s62 = 7626s63 = 7875s64 = 8128s65 = 8385s66 = 8646s67 = 8911s68 = 9180s69 = 9453s70 = 9730
s71 → s80 s71 = 10011s72 = 10296s73 = 10585s74 = 10878s75 = 11175s76 = 11476s77 = 11781s78 = 12090s79 = 12403s80 = 12720
s81 → s90 s81 = 13041s82 = 13366s83 = 13695s84 = 14028s85 = 14365s86 = 14706s87 = 15051s88 = 15400s89 = 15753s90 = 16110
s91 → s100 s91 = 16471s92 = 16836s93 = 17205s94 = 17578s95 = 17955s96 = 18336s97 = 18721s98 = 19110s99 = 19503s100 = 19900

 

Sechseckszahlen von 101 bis 200


Hier finden Sie eine Liste der Sechseckszahlen von 101 bis 200.

s101 → s110 s101 = 20301s102 = 20706s103 = 21115s104 = 21528s105 = 21945s106 = 22366s107 = 22791s108 = 23220s109 = 23653s110 = 24090
s111 → s120 s111 = 24531s112 = 24976s113 = 25425s114 = 25878s115 = 26335s116 = 26796s117 = 27261s118 = 27730s119 = 28203s120 = 28680
s121 → s130 s121 = 29161s122 = 29646s123 = 30135s124 = 30628s125 = 31125s126 = 31626s127 = 32131s128 = 32640s129 = 33153s130 = 33670
s131 → s140 s131 = 34191s132 = 34716s133 = 35245s134 = 35778s135 = 36315s136 = 36856s137 = 37401s138 = 37950s139 = 38503s140 = 39060
s141 → s150 s141 = 39621s142 = 40186s143 = 40755s144 = 41328s145 = 41905s146 = 42486s147 = 43071s148 = 43660s149 = 44253s150 = 44850
s151 → s160 s151 = 45451s152 = 46056s153 = 46665s154 = 47278s155 = 47895s156 = 48516s157 = 49141s158 = 49770s159 = 50403s160 = 51040
s161 → s170 s161 = 51681s162 = 52326s163 = 52975s164 = 53628s165 = 54285s166 = 54946s167 = 55611s168 = 56280s169 = 56953s170 = 57630
s171 → s180 s171 = 58311s172 = 58996s173 = 59685s174 = 60378s175 = 61075s176 = 61776s177 = 62481s178 = 63190s179 = 63903s180 = 64620
s181 → s190 s181 = 65341s182 = 66066s183 = 66795s184 = 67528s185 = 68265s186 = 69006s187 = 69751s188 = 70500s189 = 71253s190 = 72010
s191 → s200 s191 = 72771s192 = 73536s193 = 74305s194 = 75078s195 = 75855s196 = 76636s197 = 77421s198 = 78210s199 = 79003s200 = 79800

 

Sechseckszahlen von 201 bis 300


Hier finden Sie eine Liste der Sechseckszahlen von 201 bis 300.

s201 → s210 s201 = 80601s202 = 81406s203 = 82215s204 = 83028s205 = 83845s206 = 84666s207 = 85491s208 = 86320s209 = 87153s210 = 87990
s211 → s220 s211 = 88831s212 = 89676s213 = 90525s214 = 91378s215 = 92235s216 = 93096s217 = 93961s218 = 94830s219 = 95703s220 = 96580
s221 → s230 s221 = 97461s222 = 98346s223 = 99235s224 = 100128s225 = 101025s226 = 101926s227 = 102831s228 = 103740s229 = 104653s230 = 105570
s231 → s240 s231 = 106491s232 = 107416s233 = 108345s234 = 109278s235 = 110215s236 = 111156s237 = 112101s238 = 113050s239 = 114003s240 = 114960
s241 → s250 s241 = 115921s242 = 116886s243 = 117855s244 = 118828s245 = 119805s246 = 120786s247 = 121771s248 = 122760s249 = 123753s250 = 124750
s251 → s260 s251 = 125751s252 = 126756s253 = 127765s254 = 128778s255 = 129795s256 = 130816s257 = 131841s258 = 132870s259 = 133903s260 = 134940
s261 → s270 s261 = 135981s262 = 137026s263 = 138075s264 = 139128s265 = 140185s266 = 141246s267 = 142311s268 = 143380s269 = 144453s270 = 145530
s271 → s280 s271 = 146611s272 = 147696s273 = 148785s274 = 149878s275 = 150975s276 = 152076s277 = 153181s278 = 154290s279 = 155403s280 = 156520
s281 → s290 s281 = 157641s282 = 158766s283 = 159895s284 = 161028s285 = 162165s286 = 163306s287 = 164451s288 = 165600s289 = 166753s290 = 167910
s291 → s300 s291 = 169071s292 = 170236s293 = 171405s294 = 172578s295 = 173755s296 = 174936s297 = 176121s298 = 177310s299 = 178503s300 = 179700

 

Sechseckszahlen von 301 bis 400


Hier finden Sie eine Liste der Sechseckszahlen von 301 bis 400.

s301 → s310 s301 = 180901s302 = 182106s303 = 183315s304 = 184528s305 = 185745s306 = 186966s307 = 188191s308 = 189420s309 = 190653s310 = 191890
s311 → s320 s311 = 193131s312 = 194376s313 = 195625s314 = 196878s315 = 198135s316 = 199396s317 = 200661s318 = 201930s319 = 203203s320 = 204480
s321 → s330 s321 = 205761s322 = 207046s323 = 208335s324 = 209628s325 = 210925s326 = 212226s327 = 213531s328 = 214840s329 = 216153s330 = 217470
s331 → s340 s331 = 218791s332 = 220116s333 = 221445s334 = 222778s335 = 224115s336 = 225456s337 = 226801s338 = 228150s339 = 229503s340 = 230860
s341 → s350 s341 = 232221s342 = 233586s343 = 234955s344 = 236328s345 = 237705s346 = 239086s347 = 240471s348 = 241860s349 = 243253s350 = 244650
s351 → s360 s351 = 246051s352 = 247456s353 = 248865s354 = 250278s355 = 251695s356 = 253116s357 = 254541s358 = 255970s359 = 257403s360 = 258840
s361 → s370 s361 = 260281s362 = 261726s363 = 263175s364 = 264628s365 = 266085s366 = 267546s367 = 269011s368 = 270480s369 = 271953s370 = 273430
s371 → s380 s371 = 274911s372 = 276396s373 = 277885s374 = 279378s375 = 280875s376 = 282376s377 = 283881s378 = 285390s379 = 286903s380 = 288420
s381 → s390 s381 = 289941s382 = 291466s383 = 292995s384 = 294528s385 = 296065s386 = 297606s387 = 299151s388 = 300700s389 = 302253s390 = 303810
s391 → s400 s391 = 305371s392 = 306936s393 = 308505s394 = 310078s395 = 311655s396 = 313236s397 = 314821s398 = 316410s399 = 318003s400 = 319600

 

Sechseckszahlen von 401 bis 500


Hier finden Sie eine Liste der Sechseckszahlen von 401 bis 500.

s401 → s410 s401 = 321201s402 = 322806s403 = 324415s404 = 326028s405 = 327645s406 = 329266s407 = 330891s408 = 332520s409 = 334153s410 = 335790
s411 → s420 s411 = 337431s412 = 339076s413 = 340725s414 = 342378s415 = 344035s416 = 345696s417 = 347361s418 = 349030s419 = 350703s420 = 352380
s421 → s430 s421 = 354061s422 = 355746s423 = 357435s424 = 359128s425 = 360825s426 = 362526s427 = 364231s428 = 365940s429 = 367653s430 = 369370
s431 → s440 s431 = 371091s432 = 372816s433 = 374545s434 = 376278s435 = 378015s436 = 379756s437 = 381501s438 = 383250s439 = 385003s440 = 386760
s441 → s450 s441 = 388521s442 = 390286s443 = 392055s444 = 393828s445 = 395605s446 = 397386s447 = 399171s448 = 400960s449 = 402753s450 = 404550
s451 → s460 s451 = 406351s452 = 408156s453 = 409965s454 = 411778s455 = 413595s456 = 415416s457 = 417241s458 = 419070s459 = 420903s460 = 422740
s461 → s470 s461 = 424581s462 = 426426s463 = 428275s464 = 430128s465 = 431985s466 = 433846s467 = 435711s468 = 437580s469 = 439453s470 = 441330
s471 → s480 s471 = 443211s472 = 445096s473 = 446985s474 = 448878s475 = 450775s476 = 452676s477 = 454581s478 = 456490s479 = 458403s480 = 460320
s481 → s490 s481 = 462241s482 = 464166s483 = 466095s484 = 468028s485 = 469965s486 = 471906s487 = 473851s488 = 475800s489 = 477753s490 = 479710
s491 → s500 s491 = 481671s492 = 483636s493 = 485605s494 = 487578s495 = 489555s496 = 491536s497 = 493521s498 = 495510s499 = 497503s500 = 499500

 

Sechseckszahlen von 501 bis 600


Hier finden Sie eine Liste der Sechseckszahlen von 501 bis 600.

s501 → s510 s501 = 501501s502 = 503506s503 = 505515s504 = 507528s505 = 509545s506 = 511566s507 = 513591s508 = 515620s509 = 517653s510 = 519690
s511 → s520 s511 = 521731s512 = 523776s513 = 525825s514 = 527878s515 = 529935s516 = 531996s517 = 534061s518 = 536130s519 = 538203s520 = 540280
s521 → s530 s521 = 542361s522 = 544446s523 = 546535s524 = 548628s525 = 550725s526 = 552826s527 = 554931s528 = 557040s529 = 559153s530 = 561270
s531 → s540 s531 = 563391s532 = 565516s533 = 567645s534 = 569778s535 = 571915s536 = 574056s537 = 576201s538 = 578350s539 = 580503s540 = 582660
s541 → s550 s541 = 584821s542 = 586986s543 = 589155s544 = 591328s545 = 593505s546 = 595686s547 = 597871s548 = 600060s549 = 602253s550 = 604450
s551 → s560 s551 = 606651s552 = 608856s553 = 611065s554 = 613278s555 = 615495s556 = 617716s557 = 619941s558 = 622170s559 = 624403s560 = 626640
s561 → s570 s561 = 628881s562 = 631126s563 = 633375s564 = 635628s565 = 637885s566 = 640146s567 = 642411s568 = 644680s569 = 646953s570 = 649230
s571 → s580 s571 = 651511s572 = 653796s573 = 656085s574 = 658378s575 = 660675s576 = 662976s577 = 665281s578 = 667590s579 = 669903s580 = 672220
s581 → s590 s581 = 674541s582 = 676866s583 = 679195s584 = 681528s585 = 683865s586 = 686206s587 = 688551s588 = 690900s589 = 693253s590 = 695610
s591 → s600 s591 = 697971s592 = 700336s593 = 702705s594 = 705078s595 = 707455s596 = 709836s597 = 712221s598 = 714610s599 = 717003s600 = 719400

 

Sechseckszahlen von 601 bis 700


Hier finden Sie eine Liste der Sechseckszahlen von 601 bis 700.

s601 → s610 s601 = 721801s602 = 724206s603 = 726615s604 = 729028s605 = 731445s606 = 733866s607 = 736291s608 = 738720s609 = 741153s610 = 743590
s611 → s620 s611 = 746031s612 = 748476s613 = 750925s614 = 753378s615 = 755835s616 = 758296s617 = 760761s618 = 763230s619 = 765703s620 = 768180
s621 → s630 s621 = 770661s622 = 773146s623 = 775635s624 = 778128s625 = 780625s626 = 783126s627 = 785631s628 = 788140s629 = 790653s630 = 793170
s631 → s640 s631 = 795691s632 = 798216s633 = 800745s634 = 803278s635 = 805815s636 = 808356s637 = 810901s638 = 813450s639 = 816003s640 = 818560
s641 → s650 s641 = 821121s642 = 823686s643 = 826255s644 = 828828s645 = 831405s646 = 833986s647 = 836571s648 = 839160s649 = 841753s650 = 844350
s651 → s660 s651 = 846951s652 = 849556s653 = 852165s654 = 854778s655 = 857395s656 = 860016s657 = 862641s658 = 865270s659 = 867903s660 = 870540
s661 → s670 s661 = 873181s662 = 875826s663 = 878475s664 = 881128s665 = 883785s666 = 886446s667 = 889111s668 = 891780s669 = 894453s670 = 897130
s671 → s680 s671 = 899811s672 = 902496s673 = 905185s674 = 907878s675 = 910575s676 = 913276s677 = 915981s678 = 918690s679 = 921403s680 = 924120
s681 → s690 s681 = 926841s682 = 929566s683 = 932295s684 = 935028s685 = 937765s686 = 940506s687 = 943251s688 = 946000s689 = 948753s690 = 951510
s691 → s700 s691 = 954271s692 = 957036s693 = 959805s694 = 962578s695 = 965355s696 = 968136s697 = 970921s698 = 973710s699 = 976503s700 = 979300

 

Sechseckszahlen von 701 bis 800


Hier finden Sie eine Liste der Sechseckszahlen von 701 bis 800.

s701 → s710 s701 = 982101s702 = 984906s703 = 987715s704 = 990528s705 = 993345s706 = 996166s707 = 998991s708 = 1001820s709 = 1004653s710 = 1007490
s711 → s720 s711 = 1010331s712 = 1013176s713 = 1016025s714 = 1018878s715 = 1021735s716 = 1024596s717 = 1027461s718 = 1030330s719 = 1033203s720 = 1036080
s721 → s730 s721 = 1038961s722 = 1041846s723 = 1044735s724 = 1047628s725 = 1050525s726 = 1053426s727 = 1056331s728 = 1059240s729 = 1062153s730 = 1065070
s731 → s740 s731 = 1067991s732 = 1070916s733 = 1073845s734 = 1076778s735 = 1079715s736 = 1082656s737 = 1085601s738 = 1088550s739 = 1091503s740 = 1094460
s741 → s750 s741 = 1097421s742 = 1100386s743 = 1103355s744 = 1106328s745 = 1109305s746 = 1112286s747 = 1115271s748 = 1118260s749 = 1121253s750 = 1124250
s751 → s760 s751 = 1127251s752 = 1130256s753 = 1133265s754 = 1136278s755 = 1139295s756 = 1142316s757 = 1145341s758 = 1148370s759 = 1151403s760 = 1154440
s761 → s770 s761 = 1157481s762 = 1160526s763 = 1163575s764 = 1166628s765 = 1169685s766 = 1172746s767 = 1175811s768 = 1178880s769 = 1181953s770 = 1185030
s771 → s780 s771 = 1188111s772 = 1191196s773 = 1194285s774 = 1197378s775 = 1200475s776 = 1203576s777 = 1206681s778 = 1209790s779 = 1212903s780 = 1216020
s781 → s790 s781 = 1219141s782 = 1222266s783 = 1225395s784 = 1228528s785 = 1231665s786 = 1234806s787 = 1237951s788 = 1241100s789 = 1244253s790 = 1247410
s791 → s800 s791 = 1250571s792 = 1253736s793 = 1256905s794 = 1260078s795 = 1263255s796 = 1266436s797 = 1269621s798 = 1272810s799 = 1276003s800 = 1279200

 

Sechseckszahlen von 801 bis 900


Hier finden Sie eine Liste der Sechseckszahlen von 801 bis 900.

s801 → s810 s801 = 1282401s802 = 1285606s803 = 1288815s804 = 1292028s805 = 1295245s806 = 1298466s807 = 1301691s808 = 1304920s809 = 1308153s810 = 1311390
s811 → s820 s811 = 1314631s812 = 1317876s813 = 1321125s814 = 1324378s815 = 1327635s816 = 1330896s817 = 1334161s818 = 1337430s819 = 1340703s820 = 1343980
s821 → s830 s821 = 1347261s822 = 1350546s823 = 1353835s824 = 1357128s825 = 1360425s826 = 1363726s827 = 1367031s828 = 1370340s829 = 1373653s830 = 1376970
s831 → s840 s831 = 1380291s832 = 1383616s833 = 1386945s834 = 1390278s835 = 1393615s836 = 1396956s837 = 1400301s838 = 1403650s839 = 1407003s840 = 1410360
s841 → s850 s841 = 1413721s842 = 1417086s843 = 1420455s844 = 1423828s845 = 1427205s846 = 1430586s847 = 1433971s848 = 1437360s849 = 1440753s850 = 1444150
s851 → s860 s851 = 1447551s852 = 1450956s853 = 1454365s854 = 1457778s855 = 1461195s856 = 1464616s857 = 1468041s858 = 1471470s859 = 1474903s860 = 1478340
s861 → s870 s861 = 1481781s862 = 1485226s863 = 1488675s864 = 1492128s865 = 1495585s866 = 1499046s867 = 1502511s868 = 1505980s869 = 1509453s870 = 1512930
s871 → s880 s871 = 1516411s872 = 1519896s873 = 1523385s874 = 1526878s875 = 1530375s876 = 1533876s877 = 1537381s878 = 1540890s879 = 1544403s880 = 1547920
s881 → s890 s881 = 1551441s882 = 1554966s883 = 1558495s884 = 1562028s885 = 1565565s886 = 1569106s887 = 1572651s888 = 1576200s889 = 1579753s890 = 1583310
s891 → s900 s891 = 1586871s892 = 1590436s893 = 1594005s894 = 1597578s895 = 1601155s896 = 1604736s897 = 1608321s898 = 1611910s899 = 1615503s900 = 1619100

 

Sechseckszahlen von 901 bis 1000


Hier finden Sie eine Liste der Sechseckszahlen von 901 bis 1000.

s901 → s910 s901 = 1622701s902 = 1626306s903 = 1629915s904 = 1633528s905 = 1637145s906 = 1640766s907 = 1644391s908 = 1648020s909 = 1651653s910 = 1655290
s911 → s920 s911 = 1658931s912 = 1662576s913 = 1666225s914 = 1669878s915 = 1673535s916 = 1677196s917 = 1680861s918 = 1684530s919 = 1688203s920 = 1691880
s921 → s930 s921 = 1695561s922 = 1699246s923 = 1702935s924 = 1706628s925 = 1710325s926 = 1714026s927 = 1717731s928 = 1721440s929 = 1725153s930 = 1728870
s931 → s940 s931 = 1732591s932 = 1736316s933 = 1740045s934 = 1743778s935 = 1747515s936 = 1751256s937 = 1755001s938 = 1758750s939 = 1762503s940 = 1766260
s941 → s950 s941 = 1770021s942 = 1773786s943 = 1777555s944 = 1781328s945 = 1785105s946 = 1788886s947 = 1792671s948 = 1796460s949 = 1800253s950 = 1804050
s951 → s960 s951 = 1807851s952 = 1811656s953 = 1815465s954 = 1819278s955 = 1823095s956 = 1826916s957 = 1830741s958 = 1834570s959 = 1838403s960 = 1842240
s961 → s970 s961 = 1846081s962 = 1849926s963 = 1853775s964 = 1857628s965 = 1861485s966 = 1865346s967 = 1869211s968 = 1873080s969 = 1876953s970 = 1880830
s971 → s980 s971 = 1884711s972 = 1888596s973 = 1892485s974 = 1896378s975 = 1900275s976 = 1904176s977 = 1908081s978 = 1911990s979 = 1915903s980 = 1919820
s981 → s990 s981 = 1923741s982 = 1927666s983 = 1931595s984 = 1935528s985 = 1939465s986 = 1943406s987 = 1947351s988 = 1951300s989 = 1955253s990 = 1959210
s991 → s1000 s991 = 1963171s992 = 1967136s993 = 1971105s994 = 1975078s995 = 1979055s996 = 1983036s997 = 1987021s998 = 1991010s999 = 1995003s1000 = 1999000