Numbers are given in compact notation 4(n) where n is the number of 1's that follow the digit 4. For example, 41111111 would be written 4(7). All prime factors are listed. Factors with the notation (probable prime) are not proven prime. Numbers in square bracket preceeded by "Cn" are unresolved composite factors. Entries in red are not completely factored, or have factors not proven prime.
4 ( 1 ) = Prime
4 ( 2 ) = 3 * 137
4 ( 3 ) = Prime
4 ( 4 ) = 7 * 5873
4 ( 5 ) = 3^2 * 17 * 2687
4 ( 6 ) = 41 * 100271
4 ( 7 ) = 103 * 399137
4 ( 8 ) = 3 * 8329 * 16453
4 ( 9 ) = 19 * 647 * 334427
4 ( 10 ) = 7 * 137 * 601 * 71329
4 ( 11 ) = 3 * 41 * 67 * 83 * 601037
4 ( 12 ) = 149 * 27591349739
4 ( 13 ) = Prime
4 ( 14 ) = 3^2 * 45679012345679
4 ( 15 ) = 23 * 1177619 * 151784203
4 ( 16 ) = 7 * 41 * 9306757 * 15391429
4 ( 17 ) = 3 * 59 * 2322661644695543
4 ( 18 ) = 137 * 2995397 * 10018074499
4 ( 19 ) = 184646701 * 222647417411
4 ( 20 ) = 3 * 71 * 611492939 * 3156371873
4 ( 21 ) = 17 * 41 * 2141 * 2754924930901643
4 ( 22 ) = 7 * 47 * 124957784532252617359
4 ( 23 ) =3^3 * 29 * 4051 * 129609014790385267
4 ( 24 ) = 197 * 5216598307 * 4000420023209
4 ( 25 ) = Prime
4 ( 26 ) =3 * 41 * 137^2 * 82267 * 2164648119882959
4 ( 27 ) = 19 * 61 * 3547119164030294315022529
4 ( 28 ) = 7 * 524413 * 11199218694074847526421
4 ( 29 ) =3 * 7079 * 97081 * 199403054373196896163
4 ( 30 ) = 1861 * 1645363 * 6566564467 * 204462140131
4 ( 31 ) = 41 * 293 * 199403054373196896163
4 ( 32 ) =3 *3 * 719 * 2315263 * 940881077 * 29164380069091
4 ( 33 ) = 613 * 10690374941 * 627344078040998922167
4 ( 34 ) = 7 * 137 * 303643 * 1865405471 * 75684001854489893
4 ( 35 ) = 3 * 2488907 * 55059123156082986241364999591
4 ( 36 ) = 41 * 9103 * 1029035290357 * 10704356049151445501
4 ( 37 ) = 17 * 23 * 151 * 3413 * 1233488743 * 165399438644978179069
4 ( 38 ) = 3 * 13616822803 * 10063804091424735641177825279
4 ( 39 ) = 167 * 17911 * 10367921 * 50439877 * 2628192740527324459
4 ( 40 ) = 7 * 673 * 78606103 * 7044221563 * 15760022633277153509
4 ( 41 ) = 3^2 * 41 * 103 * 78930540176578417 * 137041009376656594369
4 ( 42 ) = 137 * 1063 * 8252957 * 3420548877628095955465900127533
4 ( 43 ) = 109 * 718025491 * 2242739406613763 * 234214641146359963
4 ( 44 ) = 3 * 67 * 223 * 71267473 * 157040929 * 819509662557888488121121
4 ( 45 ) = 19 * 158189 * 3677164946687227 * 371977114818338462143523
4 ( 46 ) = 7^2 * 41 * 349 * 293435731 199820874430782089329595022615241
4 ( 47 ) = 3 * 136691 * 4112141377 * 243797923191973958004657339629791
4 ( 48 ) = 79561 * 5877426846959745437 * 8791677507285593188090523
4 ( 49 ) = 26099 * 54437 * 28936177768586021036048947796086605422297
4 ( 50 ) = 3^4 * 107 * 137 * 16217 * 1003144792347394861 *
21283140462930175256857
4 ( 51 ) = 29 * 41 * 1059937 * 3262100278699944211746179905588411874795227
4 ( 52 ) = 7 * 83 * 6264221 * 11295774428413909699194101224086229212194711
4 ( 53 ) = 3 * 17 * 306701 * 5241012392179 * 5014858229078795876053876084185259
4 ( 54 ) = 41957 * 1014472652314897830456509 * 96586058308334762872514647
4 ( 55 ) = 71 * 97 * 14162533268836865388187 *
421490886361865444634906770419
4 ( 56 ) = 3 * 41 * 1026257 * 257459837 *
12649940442646804296758340123284009713273
4 ( 57 ) = 6663511 * 409060857784055759311 *
1508232069456354265555202031391
4 ( 58 ) = 7 * 137 * 397 * 7699 * 4075638136838003707 *
3441281213983885529799275748349
4 ( 59 ) = 3 * 3 * 23 * 65037641842512141465709 *
30536839263617578539087804806262797
4 ( 60 ) = 269 * 5927 * 336667 * 16550353197828206969 *
462768928839787950184440203639
4 ( 61 ) = 41 * 421 *
2381734031117033260593888599218533753033492330172707902851
4 ( 62 ) = 3 * 929 * 2153 *
68513825321483996864733284288544753202924118216420693701
4 ( 63 ) = 19 * 328868899 * 315376550145835259821 *
2086187847051331250460494038631611
4 ( 64 ) = 7 * 157 * 1491199 * 3534406901249197 *
7097564891968281857226908137612924391063
4 ( 65 ) = 3 *
137037037037037037037037037037037037037037037037037037037037037037
4 ( 66 ) = 41 * 137 * 5857 *
124962460179318901297222127402733856428218062235432307850519
4 ( 67 ) = 787 * 1091 * 47206898209 * 2158103349859549 *
469982868198842860250528276286621163
4 ( 68 ) = 3 * 3 * 47 * 103783559990152659521 *
9364622680003603297109947064815935034286893217
4 ( 69 ) = 17 * 327692471 * 35818379783 *
20603352507496323133623962700541715802077579366231
4 ( 70 ) = 7 * 123083 * 42238978638947768550661 *
1129665051886280534279827016815130098395271
4 ( 71 ) = 3 * 41 * 11821 * 15031 * 3613993 *
5205047582575502723997347122593220807530774998437594199
4 ( 72 ) = Prime
4 ( 73 ) = 359 * 6772538033 *
16908820486200745091118473746713143323184263445227030208131313
4 ( 74 ) = 3 * 137 * 971 * 6653 * 748833234249083 * 30856317928938578123
* 6701182227415371032601584665603
4 ( 75 ) = 59 * 103 * 10847 * 54131761 *
1152147766993801422802590855041248413032657379077679202736029
4 ( 76 ) = 7 * 41 * 27175387 * 1977835361 * 25823062974235519 *
8940499654778281699 * 11543616707167883816759
4 ( 77 ) = 3^3 * 67 * 599 * 48675892516840120379 *
7794349970113697297145325459318328226541776404198899
4 ( 78 ) = 419 * 259781 * 6992368783733 * 192161206625624017 *
28109153362379286436825683265952138247509
4 ( 79 ) = 29 * 93506223165557074153 *
15160750515640305966939818132719344412193070776686120905403
4 ( 80 ) = 3 * 1061 * 161267 * 18665585363 * 3613790596937 *
11873328163658464508286341075286352594422665282521
4 ( 81 ) = 19 * 23 * 41 * 112505832533659 *
2039477334454100440016176314149603225604992092148386702732431337
4 ( 82 ) = 7 * 137 * 8167 * 1414261 * 4886307589 * 3368113063099831 *
225517902089599351524356285123360536391261713
4 ( 83 ) = 3 * 113 * [C 82 ]
4 ( 84 ) = 613 * 6659 * 17583987347620777 * 776225804729782129 *
73787753177856446072087597731870372409006801
4 ( 85 ) = 17 * 2473 * [C 81 ]
4 ( 86 ) = 3 * 3 * 41 * 1453 * 2162947 * 2675461 * [C 69 ]
4 ( 87 ) = 61 * [C 86 ]
4 ( 88 ) = 7 * 7 * 7 * [C 87 ]
4 ( 89 ) =?
4 ( 90 ) =?
4 ( 91 ) =?
4 ( 92 ) =?
4 ( 93 ) =?
4 ( 94 ) =?
4 ( 95 ) =?
4 ( 96 ) =?
4 ( 97 ) =?
4 ( 98 ) =?
4 ( 99 ) =?
4 ( 100 ) =?
...
4 ( 108 ) = (probable prime)
...
4 ( 375 ) = (probable prime)
...
4 ( 393 ) = (probable prime)