Rechteckzahlen (Pronische Zahlen)

Einleitung

Eine Rechteckzahl,die auch als pronische Zahl bezeichnen wird, ist eine Zahl, die Produkt zweier aufeinanderfolgender natürlichen Zahl ist. Zum Beispiel ist die 7. Rechteckzahl 56, da 7*8 = 56 ist.Legt man Steine zu einem Rechteck, dessen eine Seite um 1 länger ist als die zweite, so entspricht die Anzahl der Steine einer Rechteckszahl.

Formel

Aus einer natürlichen Zahl n lässt sich nach folgender Formel deren Rechteckzahl berechnen:
Formel für eine Rechteckzahl n

Beispiel:

Beispiel einer Berechnung der Rechteckzahl von 5

Verzeichnis

 

Rechteckzahl von 0


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

r0 = 0

 

Rechteckzahlen von 1 bis 100


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

r1 → r10 r1 = 2r2 = 6r3 = 12r4 = 20r5 = 30r6 = 42r7 = 56r8 = 72r9 = 90r10 = 110
r11 → r20 r11 = 132r12 = 156r13 = 182r14 = 210r15 = 240r16 = 272r17 = 306r18 = 342r19 = 380r20 = 420
r21 → r30 r21 = 462r22 = 506r23 = 552r24 = 600r25 = 650r26 = 702r27 = 756r28 = 812r29 = 870r30 = 930
r31 → r40 r31 = 992r32 = 1056r33 = 1122r34 = 1190r35 = 1260r36 = 1332r37 = 1406r38 = 1482r39 = 1560r40 = 1640
r41 → r50 r41 = 1722r42 = 1806r43 = 1892r44 = 1980r45 = 2070r46 = 2162r47 = 2256r48 = 2352r49 = 2450r50 = 2550
r51 → r60 r51 = 2652r52 = 2756r53 = 2862r54 = 2970r55 = 3080r56 = 3192r57 = 3306r58 = 3422r59 = 3540r60 = 3660
r61 → r70 r61 = 3782r62 = 3906r63 = 4032r64 = 4160r65 = 4290r66 = 4422r67 = 4556r68 = 4692r69 = 4830r70 = 4970
r71 → r80 r71 = 5112r72 = 5256r73 = 5402r74 = 5550r75 = 5700r76 = 5852r77 = 6006r78 = 6162r79 = 6320r80 = 6480
r81 → r90 r81 = 6642r82 = 6806r83 = 6972r84 = 7140r85 = 7310r86 = 7482r87 = 7656r88 = 7832r89 = 8010r90 = 8190
r91 → r100 r91 = 8372r92 = 8556r93 = 8742r94 = 8930r95 = 9120r96 = 9312r97 = 9506r98 = 9702r99 = 9900r100 = 10100

 

Rechteckzahlen von 101 bis 200


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

r101 → r110 r101 = 10302r102 = 10506r103 = 10712r104 = 10920r105 = 11130r106 = 11342r107 = 11556r108 = 11772r109 = 11990r110 = 12210
r111 → r120 r111 = 12432r112 = 12656r113 = 12882r114 = 13110r115 = 13340r116 = 13572r117 = 13806r118 = 14042r119 = 14280r120 = 14520
r121 → r130 r121 = 14762r122 = 15006r123 = 15252r124 = 15500r125 = 15750r126 = 16002r127 = 16256r128 = 16512r129 = 16770r130 = 17030
r131 → r140 r131 = 17292r132 = 17556r133 = 17822r134 = 18090r135 = 18360r136 = 18632r137 = 18906r138 = 19182r139 = 19460r140 = 19740
r141 → r150 r141 = 20022r142 = 20306r143 = 20592r144 = 20880r145 = 21170r146 = 21462r147 = 21756r148 = 22052r149 = 22350r150 = 22650
r151 → r160 r151 = 22952r152 = 23256r153 = 23562r154 = 23870r155 = 24180r156 = 24492r157 = 24806r158 = 25122r159 = 25440r160 = 25760
r161 → r170 r161 = 26082r162 = 26406r163 = 26732r164 = 27060r165 = 27390r166 = 27722r167 = 28056r168 = 28392r169 = 28730r170 = 29070
r171 → r180 r171 = 29412r172 = 29756r173 = 30102r174 = 30450r175 = 30800r176 = 31152r177 = 31506r178 = 31862r179 = 32220r180 = 32580
r181 → r190 r181 = 32942r182 = 33306r183 = 33672r184 = 34040r185 = 34410r186 = 34782r187 = 35156r188 = 35532r189 = 35910r190 = 36290
r191 → r200 r191 = 36672r192 = 37056r193 = 37442r194 = 37830r195 = 38220r196 = 38612r197 = 39006r198 = 39402r199 = 39800r200 = 40200

 

Rechteckzahlen von 201 bis 300


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

r201 → r210 r201 = 40602r202 = 41006r203 = 41412r204 = 41820r205 = 42230r206 = 42642r207 = 43056r208 = 43472r209 = 43890r210 = 44310
r211 → r220 r211 = 44732r212 = 45156r213 = 45582r214 = 46010r215 = 46440r216 = 46872r217 = 47306r218 = 47742r219 = 48180r220 = 48620
r221 → r230 r221 = 49062r222 = 49506r223 = 49952r224 = 50400r225 = 50850r226 = 51302r227 = 51756r228 = 52212r229 = 52670r230 = 53130
r231 → r240 r231 = 53592r232 = 54056r233 = 54522r234 = 54990r235 = 55460r236 = 55932r237 = 56406r238 = 56882r239 = 57360r240 = 57840
r241 → r250 r241 = 58322r242 = 58806r243 = 59292r244 = 59780r245 = 60270r246 = 60762r247 = 61256r248 = 61752r249 = 62250r250 = 62750
r251 → r260 r251 = 63252r252 = 63756r253 = 64262r254 = 64770r255 = 65280r256 = 65792r257 = 66306r258 = 66822r259 = 67340r260 = 67860
r261 → r270 r261 = 68382r262 = 68906r263 = 69432r264 = 69960r265 = 70490r266 = 71022r267 = 71556r268 = 72092r269 = 72630r270 = 73170
r271 → r280 r271 = 73712r272 = 74256r273 = 74802r274 = 75350r275 = 75900r276 = 76452r277 = 77006r278 = 77562r279 = 78120r280 = 78680
r281 → r290 r281 = 79242r282 = 79806r283 = 80372r284 = 80940r285 = 81510r286 = 82082r287 = 82656r288 = 83232r289 = 83810r290 = 84390
r291 → r300 r291 = 84972r292 = 85556r293 = 86142r294 = 86730r295 = 87320r296 = 87912r297 = 88506r298 = 89102r299 = 89700r300 = 90300

 

Rechteckzahlen von 301 bis 400


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

r301 → r310 r301 = 90902r302 = 91506r303 = 92112r304 = 92720r305 = 93330r306 = 93942r307 = 94556r308 = 95172r309 = 95790r310 = 96410
r311 → r320 r311 = 97032r312 = 97656r313 = 98282r314 = 98910r315 = 99540r316 = 100172r317 = 100806r318 = 101442r319 = 102080r320 = 102720
r321 → r330 r321 = 103362r322 = 104006r323 = 104652r324 = 105300r325 = 105950r326 = 106602r327 = 107256r328 = 107912r329 = 108570r330 = 109230
r331 → r340 r331 = 109892r332 = 110556r333 = 111222r334 = 111890r335 = 112560r336 = 113232r337 = 113906r338 = 114582r339 = 115260r340 = 115940
r341 → r350 r341 = 116622r342 = 117306r343 = 117992r344 = 118680r345 = 119370r346 = 120062r347 = 120756r348 = 121452r349 = 122150r350 = 122850
r351 → r360 r351 = 123552r352 = 124256r353 = 124962r354 = 125670r355 = 126380r356 = 127092r357 = 127806r358 = 128522r359 = 129240r360 = 129960
r361 → r370 r361 = 130682r362 = 131406r363 = 132132r364 = 132860r365 = 133590r366 = 134322r367 = 135056r368 = 135792r369 = 136530r370 = 137270
r371 → r380 r371 = 138012r372 = 138756r373 = 139502r374 = 140250r375 = 141000r376 = 141752r377 = 142506r378 = 143262r379 = 144020r380 = 144780
r381 → r390 r381 = 145542r382 = 146306r383 = 147072r384 = 147840r385 = 148610r386 = 149382r387 = 150156r388 = 150932r389 = 151710r390 = 152490
r391 → r400 r391 = 153272r392 = 154056r393 = 154842r394 = 155630r395 = 156420r396 = 157212r397 = 158006r398 = 158802r399 = 159600r400 = 160400

 

Rechteckzahlen von 401 bis 500


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

r401 → r410 r401 = 161202r402 = 162006r403 = 162812r404 = 163620r405 = 164430r406 = 165242r407 = 166056r408 = 166872r409 = 167690r410 = 168510
r411 → r420 r411 = 169332r412 = 170156r413 = 170982r414 = 171810r415 = 172640r416 = 173472r417 = 174306r418 = 175142r419 = 175980r420 = 176820
r421 → r430 r421 = 177662r422 = 178506r423 = 179352r424 = 180200r425 = 181050r426 = 181902r427 = 182756r428 = 183612r429 = 184470r430 = 185330
r431 → r440 r431 = 186192r432 = 187056r433 = 187922r434 = 188790r435 = 189660r436 = 190532r437 = 191406r438 = 192282r439 = 193160r440 = 194040
r441 → r450 r441 = 194922r442 = 195806r443 = 196692r444 = 197580r445 = 198470r446 = 199362r447 = 200256r448 = 201152r449 = 202050r450 = 202950
r451 → r460 r451 = 203852r452 = 204756r453 = 205662r454 = 206570r455 = 207480r456 = 208392r457 = 209306r458 = 210222r459 = 211140r460 = 212060
r461 → r470 r461 = 212982r462 = 213906r463 = 214832r464 = 215760r465 = 216690r466 = 217622r467 = 218556r468 = 219492r469 = 220430r470 = 221370
r471 → r480 r471 = 222312r472 = 223256r473 = 224202r474 = 225150r475 = 226100r476 = 227052r477 = 228006r478 = 228962r479 = 229920r480 = 230880
r481 → r490 r481 = 231842r482 = 232806r483 = 233772r484 = 234740r485 = 235710r486 = 236682r487 = 237656r488 = 238632r489 = 239610r490 = 240590
r491 → r500 r491 = 241572r492 = 242556r493 = 243542r494 = 244530r495 = 245520r496 = 246512r497 = 247506r498 = 248502r499 = 249500r500 = 250500

 

Rechteckzahlen von 501 bis 600


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

r501 → r510 r501 = 251502r502 = 252506r503 = 253512r504 = 254520r505 = 255530r506 = 256542r507 = 257556r508 = 258572r509 = 259590r510 = 260610
r511 → r520 r511 = 261632r512 = 262656r513 = 263682r514 = 264710r515 = 265740r516 = 266772r517 = 267806r518 = 268842r519 = 269880r520 = 270920
r521 → r530 r521 = 271962r522 = 273006r523 = 274052r524 = 275100r525 = 276150r526 = 277202r527 = 278256r528 = 279312r529 = 280370r530 = 281430
r531 → r540 r531 = 282492r532 = 283556r533 = 284622r534 = 285690r535 = 286760r536 = 287832r537 = 288906r538 = 289982r539 = 291060r540 = 292140
r541 → r550 r541 = 293222r542 = 294306r543 = 295392r544 = 296480r545 = 297570r546 = 298662r547 = 299756r548 = 300852r549 = 301950r550 = 303050
r551 → r560 r551 = 304152r552 = 305256r553 = 306362r554 = 307470r555 = 308580r556 = 309692r557 = 310806r558 = 311922r559 = 313040r560 = 314160
r561 → r570 r561 = 315282r562 = 316406r563 = 317532r564 = 318660r565 = 319790r566 = 320922r567 = 322056r568 = 323192r569 = 324330r570 = 325470
r571 → r580 r571 = 326612r572 = 327756r573 = 328902r574 = 330050r575 = 331200r576 = 332352r577 = 333506r578 = 334662r579 = 335820r580 = 336980
r581 → r590 r581 = 338142r582 = 339306r583 = 340472r584 = 341640r585 = 342810r586 = 343982r587 = 345156r588 = 346332r589 = 347510r590 = 348690
r591 → r600 r591 = 349872r592 = 351056r593 = 352242r594 = 353430r595 = 354620r596 = 355812r597 = 357006r598 = 358202r599 = 359400r600 = 360600

 

Rechteckzahlen von 601 bis 700


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

r601 → r610 r601 = 361802r602 = 363006r603 = 364212r604 = 365420r605 = 366630r606 = 367842r607 = 369056r608 = 370272r609 = 371490r610 = 372710
r611 → r620 r611 = 373932r612 = 375156r613 = 376382r614 = 377610r615 = 378840r616 = 380072r617 = 381306r618 = 382542r619 = 383780r620 = 385020
r621 → r630 r621 = 386262r622 = 387506r623 = 388752r624 = 390000r625 = 391250r626 = 392502r627 = 393756r628 = 395012r629 = 396270r630 = 397530
r631 → r640 r631 = 398792r632 = 400056r633 = 401322r634 = 402590r635 = 403860r636 = 405132r637 = 406406r638 = 407682r639 = 408960r640 = 410240
r641 → r650 r641 = 411522r642 = 412806r643 = 414092r644 = 415380r645 = 416670r646 = 417962r647 = 419256r648 = 420552r649 = 421850r650 = 423150
r651 → r660 r651 = 424452r652 = 425756r653 = 427062r654 = 428370r655 = 429680r656 = 430992r657 = 432306r658 = 433622r659 = 434940r660 = 436260
r661 → r670 r661 = 437582r662 = 438906r663 = 440232r664 = 441560r665 = 442890r666 = 444222r667 = 445556r668 = 446892r669 = 448230r670 = 449570
r671 → r680 r671 = 450912r672 = 452256r673 = 453602r674 = 454950r675 = 456300r676 = 457652r677 = 459006r678 = 460362r679 = 461720r680 = 463080
r681 → r690 r681 = 464442r682 = 465806r683 = 467172r684 = 468540r685 = 469910r686 = 471282r687 = 472656r688 = 474032r689 = 475410r690 = 476790
r691 → r700 r691 = 478172r692 = 479556r693 = 480942r694 = 482330r695 = 483720r696 = 485112r697 = 486506r698 = 487902r699 = 489300r700 = 490700

 

Rechteckzahlen von 701 bis 800


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

r701 → r710 r701 = 492102r702 = 493506r703 = 494912r704 = 496320r705 = 497730r706 = 499142r707 = 500556r708 = 501972r709 = 503390r710 = 504810
r711 → r720 r711 = 506232r712 = 507656r713 = 509082r714 = 510510r715 = 511940r716 = 513372r717 = 514806r718 = 516242r719 = 517680r720 = 519120
r721 → r730 r721 = 520562r722 = 522006r723 = 523452r724 = 524900r725 = 526350r726 = 527802r727 = 529256r728 = 530712r729 = 532170r730 = 533630
r731 → r740 r731 = 535092r732 = 536556r733 = 538022r734 = 539490r735 = 540960r736 = 542432r737 = 543906r738 = 545382r739 = 546860r740 = 548340
r741 → r750 r741 = 549822r742 = 551306r743 = 552792r744 = 554280r745 = 555770r746 = 557262r747 = 558756r748 = 560252r749 = 561750r750 = 563250
r751 → r760 r751 = 564752r752 = 566256r753 = 567762r754 = 569270r755 = 570780r756 = 572292r757 = 573806r758 = 575322r759 = 576840r760 = 578360
r761 → r770 r761 = 579882r762 = 581406r763 = 582932r764 = 584460r765 = 585990r766 = 587522r767 = 589056r768 = 590592r769 = 592130r770 = 593670
r771 → r780 r771 = 595212r772 = 596756r773 = 598302r774 = 599850r775 = 601400r776 = 602952r777 = 604506r778 = 606062r779 = 607620r780 = 609180
r781 → r790 r781 = 610742r782 = 612306r783 = 613872r784 = 615440r785 = 617010r786 = 618582r787 = 620156r788 = 621732r789 = 623310r790 = 624890
r791 → r800 r791 = 626472r792 = 628056r793 = 629642r794 = 631230r795 = 632820r796 = 634412r797 = 636006r798 = 637602r799 = 639200r800 = 640800

 

Rechteckzahlen von 801 bis 900


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

r801 → r810 r801 = 642402r802 = 644006r803 = 645612r804 = 647220r805 = 648830r806 = 650442r807 = 652056r808 = 653672r809 = 655290r810 = 656910
r811 → r820 r811 = 658532r812 = 660156r813 = 661782r814 = 663410r815 = 665040r816 = 666672r817 = 668306r818 = 669942r819 = 671580r820 = 673220
r821 → r830 r821 = 674862r822 = 676506r823 = 678152r824 = 679800r825 = 681450r826 = 683102r827 = 684756r828 = 686412r829 = 688070r830 = 689730
r831 → r840 r831 = 691392r832 = 693056r833 = 694722r834 = 696390r835 = 698060r836 = 699732r837 = 701406r838 = 703082r839 = 704760r840 = 706440
r841 → r850 r841 = 708122r842 = 709806r843 = 711492r844 = 713180r845 = 714870r846 = 716562r847 = 718256r848 = 719952r849 = 721650r850 = 723350
r851 → r860 r851 = 725052r852 = 726756r853 = 728462r854 = 730170r855 = 731880r856 = 733592r857 = 735306r858 = 737022r859 = 738740r860 = 740460
r861 → r870 r861 = 742182r862 = 743906r863 = 745632r864 = 747360r865 = 749090r866 = 750822r867 = 752556r868 = 754292r869 = 756030r870 = 757770
r871 → r880 r871 = 759512r872 = 761256r873 = 763002r874 = 764750r875 = 766500r876 = 768252r877 = 770006r878 = 771762r879 = 773520r880 = 775280
r881 → r890 r881 = 777042r882 = 778806r883 = 780572r884 = 782340r885 = 784110r886 = 785882r887 = 787656r888 = 789432r889 = 791210r890 = 792990
r891 → r900 r891 = 794772r892 = 796556r893 = 798342r894 = 800130r895 = 801920r896 = 803712r897 = 805506r898 = 807302r899 = 809100r900 = 810900

 

Rechteckzahlen von 901 bis 1000


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

r901 → r910 r901 = 812702r902 = 814506r903 = 816312r904 = 818120r905 = 819930r906 = 821742r907 = 823556r908 = 825372r909 = 827190r910 = 829010
r911 → r920 r911 = 830832r912 = 832656r913 = 834482r914 = 836310r915 = 838140r916 = 839972r917 = 841806r918 = 843642r919 = 845480r920 = 847320
r921 → r930 r921 = 849162r922 = 851006r923 = 852852r924 = 854700r925 = 856550r926 = 858402r927 = 860256r928 = 862112r929 = 863970r930 = 865830
r931 → r940 r931 = 867692r932 = 869556r933 = 871422r934 = 873290r935 = 875160r936 = 877032r937 = 878906r938 = 880782r939 = 882660r940 = 884540
r941 → r950 r941 = 886422r942 = 888306r943 = 890192r944 = 892080r945 = 893970r946 = 895862r947 = 897756r948 = 899652r949 = 901550r950 = 903450
r951 → r960 r951 = 905352r952 = 907256r953 = 909162r954 = 911070r955 = 912980r956 = 914892r957 = 916806r958 = 918722r959 = 920640r960 = 922560
r961 → r970 r961 = 924482r962 = 926406r963 = 928332r964 = 930260r965 = 932190r966 = 934122r967 = 936056r968 = 937992r969 = 939930r970 = 941870
r971 → r980 r971 = 943812r972 = 945756r973 = 947702r974 = 949650r975 = 951600r976 = 953552r977 = 955506r978 = 957462r979 = 959420r980 = 961380
r981 → r990 r981 = 963342r982 = 965306r983 = 967272r984 = 969240r985 = 971210r986 = 973182r987 = 975156r988 = 977132r989 = 979110r990 = 981090
r991 → r1000 r991 = 983072r992 = 985056r993 = 987042r994 = 989030r995 = 991020r996 = 993012r997 = 995006r998 = 997002r999 = 999000r1000 = 1001000