Numbers are given in compact notation 3(n) where n is the number of 1's that follow the digit 3. For example, 31111111 would be written 3(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.
3 ( 1 ) = Prime
3 ( 2 ) = Prime
3 ( 3 ) = 3 * 17 * 61
3 ( 4 ) = 53 * 587
3 ( 5 ) = Prime
3 ( 6 ) = 3^2 * 345679
3 ( 7 ) = 23 * 1352657
3 ( 8 ) = 19 * 16374269
3 ( 9 ) = 3 * 179 * 5793503
3 ( 10 ) = Prime
3 ( 11 ) = Prime
3 ( 12 ) = 3 * 89273 * 11616469
3 ( 13 ) = Prime
3 ( 14 ) = 29 * 1655939 * 6478481
3 ( 15 ) = 3^2 * 281 * 809 * 839 * 1812409
3 ( 16 ) = 31 * 7583791 * 132332791
3 ( 17 ) = 53 * 5239369 * 1120367923
3 ( 18 ) = 3 * 4958579 * 209139964703
3 ( 19 ) = 17 * 1830065359477124183
3 ( 20 ) = 2203 * 290837 * 485569465201
3 ( 21 ) = 3 * 1037037037037037037037
3 ( 22 ) = 59 * 25819 * 20423214221500991
3 ( 23 ) = 16979 * 1439293 * 12730756173313
3 ( 24 ) = 3^4 * 149 * 265032319 * 972624932101
3 ( 25 ) = 1951 * 2557 * 67987 * 91727941318879
3 ( 26 ) = 19 * 83 * 727 * 271362241359075143209
3 ( 27 ) = 3 * 14506277 * 71488848381775491881
3 ( 28 ) = 193 * 12703 * 18089 * 701515637022519281
3 ( 29 ) = 23 * 13526570048309178743961352657
3 ( 30 ) = 3 * 53 * 2399 * 69361991 * 117588973387831681
3 ( 31 ) = 31 * 1003584229390681003584229390681
3 ( 32 ) = 9433 * 236026804549 * 139734730202644883
3 ( 33 ) = 3^2 * 345679012345679012345679012345679
3 ( 34 ) = Prime
3 ( 35 ) = 17 * 4614583 * 3965830410845626101007471201
3 ( 36 ) = 3 * 7873983081212257 * 131704250103287958541
3 ( 37 ) = 61487983 * 505970591214727455137227563817
3 ( 38 ) = 30389 * 10237622531544674425322028073023499
3 ( 39 ) = 3 * 984649089601 * 1053204687831748981235441837
3 ( 40 ) = 47 * 59051 * 1334561 * 1987523 * 437230217 * 9665618432513
3 ( 41 ) = 1141233897997 * 272609420082200309275564220963
3 ( 42 ) = 3^2 * 29 * 99233 * 120120987402924921161056688367252347
3 ( 43 ) = 53 * 281 * 1423 * 1468008033841737545633488484480987149
3 ( 44 ) = 19 * 4517 * 553055893937 * 6554548863145601889930661961
3 ( 45 ) = 3 * 3929 * 263944270052694588199805812429889803267253
3 ( 46 ) = 31 * 1003584229390681003584229390681003584229390681
3 ( 47 ) = Prime
3 ( 48 ) = 3 * 113 * 2381 * 11003 * 357703 * 397058527 *
2466426657688720386945403
3 ( 49 ) = 317 * 941 * 29732458381 * 160654358299 * 21834502695894002244577
3 ( 50 ) = 109 * 20872603 * 1993086344818092103 * 68609822763124648712831
3 ( 51 ) = 3^3 * 17 * 23 * 461 * 4127 * 12703049 * 175926617 * 618387571
* 112082892252411163
3 ( 52 ) = Prime
3 ( 53 ) = 1153 * 406352448017 * 3668471265463943 *
181008184517128175235377
3 ( 54 ) = 3 * 223 * 2297 * 3407618304588272647 *
594124506381346926572780766941
3 ( 55 ) = 10305728977658557 * 3018817123811022180979046309018038259923
3 ( 56 ) = 53 * 131 * 4871 * 16187 *
568308118768362063731543171789304252565413101
3 ( 57 ) = 3 * 563 * 743 * 168247 * 14669939 *
1004434037886341555641644222937119108421
3 ( 58 ) = 62613390969440647597195433 * 496876317181021701706806628758767
3 ( 59 ) = 1220661151 * 254870985986766372571409140480715692991781886495961
3 ( 60 ) = 3^2 * 11197 * 371281 * 12928739 *
6431502472561515498871659114782660780681273
3 ( 61 ) = 31 * 752201 * 2465710309 *
541100419569080158880937327196873292052533309
3 ( 62 ) = 19 * 11173 * 131059 * 5955043 * 713240779 * 4273371527 *
616074953335710586854596293
3 ( 63 ) = 3 * 61 * 97 * 467 * 1303 *
288025806674149605309443583668674530537358089976034861
3 ( 64 ) = 167 * 1098885738288171992459999 *
169529981160601412291752231218245903167
3 ( 65 ) = 277 * 2731265421713 * 882387070434382440120383 *
466028750818884132089939717
3 ( 66 ) = 3 * 233 * 1279 * 295073 *
11793381008626718937668153135582690713731904244031911867
3 ( 67 ) = 17 * 83 * 26923671769 * 30046035446412187639163 *
27256309088967007530068628752783
3 ( 68 ) = 6299 * 1452540317 *
34002881188287057286394077989200233428969452678733372617
3 ( 69 ) = 3^2 * 53 * 509 *
12813841878106498585672202703995218606430626546527746315219594927
3 ( 70 ) = 29 * 53087 *
20208279519767558595169485036021619106119954759435949388941322157
3 ( 71 ) = 281 * 7069 * 956309477 * 551314697847853 *
297066165154666421634772855894739164447979
3 ( 72 ) = 3 *
1037037037037037037037037037037037037037037037037037037037037037037037037
3 ( 73 ) = 23 * 211086469419401 *
6408070628834890618176730719516389519460607077923464526857
3 ( 74 ) = 977 * 2659 * 1225138571 * 1280159150118539761289893 *
76357806333374019845264954114336459
3 ( 75 ) = 3 * 18457 * 1703414339663 *
32984724121350876722047384465928677306354817463532069898107
3 ( 76 ) = 31^2 * 1823 *
17758466713688549600697704787942660701597697538682855792307628396726937
3 ( 77 ) = Prime
3 ( 78 ) = 3^3 * 115752673 *
995452929614503768581594691253707268155783070183554241682404495735141
3 ( 79 ) = 181 * 100547 * 136673949648076323302899 * 803606188557366787692859
* 15564630399106440370064153
3 ( 80 ) = 19 * 59 * 395012791 * 6855049875977 * 188951197797943373669 *
542423481856191544227716844567811477
3 ( 81 ) = 3 * 29437 * 548521 * [C 71 ]
3 ( 82 ) = 53 * 337 * 2293 * 213973 * 764510173423 * 31800013132706449
* 146028005208300155573058700761488311827917
3 ( 83 ) = 17 * [C 83 ]
3 ( 84 ) = 3 *
1037037037037037037037037037037037037037037037037037037037037037037037037037037037037
3 ( 85 ) = 226141 * 7004189 * 5269335553 * 7376164687231297 * 378554537173912327
* 1334945209514487383698041864377
3 ( 86 ) = 47 * 1991351 * [C 79 ]
3 ( 87 ) = 3 * 3 * 199 * 8867 * [C 81 ]
3 ( 88 ) = Prime
3 ( 89 ) = 1117769 * [C 84 ]
3 ( 90 ) = 3 * 155381 * [C 85 ]
3 ( 91 ) = 31 * 23293 * 1008001 * [C 80 ]
3 ( 92 ) = 197 * 283 * 2887 * [C 85 ]
3 ( 93 ) = 3 * [C 94 ]
3 ( 94 ) = [C 95 ]
3 ( 95 ) = 23 * 53 * 2309 * 892103 * 14353993 * [C 76 ]
3 ( 96 ) = 3^2 * 439 * 84227929 * [C 85 ]
3 ( 97 ) = 349 * 491 * [C 93 ]
3 ( 98 ) = 19 * 29 * [C 96 ]
3 ( 99 ) = 3 * 17 * 281 * 877 *
247536606310081167872050591390148165069043308058696551973320716746133431796322849017619593753
3 ( 100 ) = 227 * [C 99 ]
3 ( 101 ) = 69946777 * [C 94 ]
3 ( 102 ) = 3 * [C 103 ]
3 ( 103 ) = 577 * [C 101 ]
3 ( 104 ) = 3911 * 19211 * 29851 * 3466363 * [C 86 ]
3 ( 105 ) = 3^5 * [C 104 ]
3 ( 106 ) = 31 * [C 106 ]
3 ( 107 ) = 24077 *
12921506463060643398725385683893803676168588740753046937372227067787145869963496744241853682398600785443
3 ( 108 ) = 3 * 53 * 83 * 225767 * [C 100 ]