User:LUH 3417

Name
In THX 1138, LUH 3417 is the name of the title character's mate.

Word's pronunciation
IPA: /l&#652;/

SAMPA: /lV/

Number's uniqueness
3417 is the only positive integer such that adding the digits of its 115th power to the squares of the digits of its 18th power is equal to itself:


 * 1) 3417115 = 23 397 667 330 645 637 407 106 290 923 260 249 452 999 729 751 922 441 976 283 772 893 888 935 627 228 881 284 334 294 904 896 176 575 898 874 049 761 196 030 517 342 170 563 014 539 856 213 540 772 142 624 595 924 163 228 260 806 505 518 454 239 253 344 565 737 533 218 581 047 125 187 027 167 602 833 763 011 488 046 722 591 431 206 813 269 338 822 093 042 053 143 284 130 906 047 187 717 319 456 548 087 254 759 909 013 970 186 568 149 221 993 157 901 955 991 100 104 213 907 978 594 258 289 839 613 681 213 104 152 853 459 326 452 798 793
 * 2) 2 + 3 + 3 + 9 + 7 + 6 + 6 + 7 + 3 + 3 + 0 + 6 + 4 + 5 + 6 + 3 + 7 + 4 + 0 + 7 + 1 + 0 + 6 + 2 + 9 + 0 + 9 + 2 + 3 + 2 + 6 + 0 + 2 + 4 + 9 + 4 + 5 + 2 + 9 + 9 + 9 + 7 + 2 + 9 + 7 + 5 + 1 + 9 + 2 + 2 + 4 + 4 + 1 + 9 + 7 + 6 + 2 + 8 + 3 + 7 + 7 + 2 + 8 + 9 + 3 + 8 + 8 + 8 + 9 + 3 + 5 + 6 + 2 + 7 + 2 + 2 + 8 + 8 + 8 + 1 + 2 + 8 + 4 + 3 + 3 + 4 + 2 + 9 + 4 + 9 + 0 + 4 + 8 + 9 + 6 + 1 + 7 + 6 + 5 + 7 + 5 + 8 + 9 + 8 + 8 + 7 + 4 + 0 + 4 + 9 + 7 + 6 + 1 + 1 + 9 + 6 + 0 + 3 + 0 + 5 + 1 + 7 + 3 + 4 + 2 + 1 + 7 + 0 + 5 + 6 + 3 + 0 + 1 + 4 + 5 + 3 + 9 + 8 + 5 + 6 + 2 + 1 + 3 + 5 + 4 + 0 + 7 + 7 + 2 + 1 + 4 + 2 + 6 + 2 + 4 + 5 + 9 + 5 + 9 + 2 + 4 + 1 + 6 + 3 + 2 + 2 + 8 + 2 + 6 + 0 + 8 + 0 + 6 + 5 + 0 + 5 + 5 + 1 + 8 + 4 + 5 + 4 + 2 + 3 + 9 + 2 + 5 + 3 + 3 + 4 + 4 + 5 + 6 + 5 + 7 + 3 + 7 + 5 + 3 + 3 + 2 + 1 + 8 + 5 + 8 + 1 + 0 + 4 + 7 + 1 + 2 + 5 + 1 + 8 + 7 + 0 + 2 + 7 + 1 + 6 + 7 + 6 + 0 + 2 + 8 + 3 + 3 + 7 + 6 + 3 + 0 + 1 + 1 + 4 + 8 + 8 + 0 + 4 + 6 + 7 + 2 + 2 + 5 + 9 + 1 + 4 + 3 + 1 + 2 + 0 + 6 + 8 + 1 + 3 + 2 + 6 + 9 + 3 + 3 + 8 + 8 + 2 + 2 + 0 + 9 + 3 + 0 + 4 + 2 + 0 + 5 + 3 + 1 + 4 + 3 + 2 + 8 + 4 + 1 + 3 + 0 + 9 + 0 + 6 + 0 + 4 + 7 + 1 + 8 + 7 + 7 + 1 + 7 + 3 + 1 + 9 + 4 + 5 + 6 + 5 + 4 + 8 + 0 + 8 + 7 + 2 + 5 + 4 + 7 + 5 + 9 + 9 + 0 + 9 + 0 + 1 + 3 + 9 + 7 + 0 + 1 + 8 + 6 + 5 + 6 + 8 + 1 + 4 + 9 + 2 + 2 + 1 + 9 + 9 + 3 + 1 + 5 + 7 + 9 + 0 + 1 + 9 + 5 + 5 + 9 + 9 + 1 + 1 + 0 + 0 + 1 + 0 + 4 + 2 + 1 + 3 + 9 + 0 + 7 + 9 + 7 + 8 + 5 + 9 + 4 + 2 + 5 + 8 + 2 + 8 + 9 + 8 + 3 + 9 + 6 + 1 + 3 + 6 + 8 + 1 + 2 + 1 + 3 + 1 + 0 + 4 + 1 + 5 + 2 + 8 + 5 + 3 + 4 + 5 + 9 + 3 + 2 + 6 + 4 + 5 + 2 + 7 + 9 + 8 + 7 + 9 + 3 = 1809
 * 3) 341718 = 4 032 827 244 334 172 203 597 665 883 630 075 707 505 956 448 253 594 033 419 703 409
 * 4) 4&sup2; + 0&sup2; + 3&sup2; + 2&sup2; + 8&sup2; + 2&sup2; + 7&sup2; + 2&sup2; + 4&sup2; + 4&sup2; + 3&sup2; + 3&sup2; + 4&sup2; + 1&sup2; + 7&sup2; + 2&sup2; + 2&sup2; + 0&sup2; + 3&sup2; + 5&sup2; + 9&sup2; + 7&sup2; + 6&sup2; + 6&sup2; + 5&sup2; + 8&sup2; + 8&sup2; + 3&sup2; + 6&sup2; + 3&sup2; + 0&sup2; + 0&sup2; + 7&sup2; + 5&sup2; + 7&sup2; + 0&sup2; + 7&sup2; + 5&sup2; + 0&sup2; + 5&sup2; + 9&sup2; + 5&sup2; + 6&sup2; + 4&sup2; + 4&sup2; + 8&sup2; + 2&sup2; + 5&sup2; + 3&sup2; + 5&sup2; + 9&sup2; + 4&sup2; + 0&sup2; + 3&sup2; + 3&sup2; + 4&sup2; + 1&sup2; + 9&sup2; + 7&sup2; + 0&sup2; + 3&sup2; + 4&sup2; + 0&sup2; + 9&sup2; = 1608
 * 5) 1809 + 1608 = 3417

(Deliberately avoiding proper math markup to permit line-breaks.)