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This table presents common logarithms (base 10). To save space and maintain clarity, the table is divided into three columns: the integer being calculated, the leading five digits of the mantissa (the decimal part), and the final eight digits. For these five-digit integers, the "characteristic" (the whole number before the decimal point) is always 4. For example, to find the logarithm of 21,600, you combine the parts: 4.33344 53751169.
| Number | Mantissa (Lead) | Mantissa (Final) |
|---|---|---|
| 21600 | 43344 | 53751169 |
| 21601 | 43344 | 73852547 |
| 21602 | 43344 | 93948731 |
| 21603 | 43345 | 14039731 |
| 21604 | 43345 | 34125549 |
| 21605 | 43345 | 54206193 |
| 21606 | 43345 | 74281664 |
| 21607 | 43345 | 94351962 |
| 21608 | 43346 | 14417093 |
| 21609 | 43346 | 34477058 |
| 21610 | 43346 | 54531858 |
| 21611 | 43346 | 74581593 |
| 21612 | 43346 | 94626163 |
| 21613 | 43347 | 14665569 |
| 21614 | 43347 | 34699811 |
| 21615 | 43347 | 54728890 |
| 21616 | 43347 | 74752806 |
| 21617 | 43347 | 94771559 |
| 21618 | 43348 | 14785150 |
| 21619 | 43348 | 34793580 |
| 21620 | 43348 | 54796849 |
| 21621 | 43348 | 74794958 |
| 21622 | 43348 | 94787908 |
| 21623 | 43349 | 14775699 |
| 21624 | 43349 | 34758333 |
| 21625 | 43349 | 54735809 |
| 21626 | 43349 | 74708128 |
| 21627 | 43349 | 94675292 |
| 21628 | 43350 | 14637299 |
| 21629 | 43350 | 34594152 |
| 21630 | 43350 | 54545851 |
| 21631 | 43350 | 74492396 |
| 21632 | 43350 | 94433788 |
| 21633 | 43351 | 14370028 |
| 21634 | 43351 | 34301116 |
| 21635 | 43351 | 54227053 |
| 21636 | 43351 | 74147838 |
| 21637 | 43351 | 94063472 |
| 21638 | 43352 | 13973956 |
| 21639 | 43352 | 33879290 |
| 21640 | 43352 | 53779475 |
| 21641 | 43352 | 73674512 |
| 21642 | 43352 | 93564401 |
| 21643 | 43353 | 13449142 |
| 21644 | 43353 | 33328736 |
| 21645 | 43353 | 53203184 |
| 21646 | 43353 | 73072486 |
| 21647 | 43353 | 92936643 |
| 21648 | 43354 | 12795655 |
| 21649 | 43354 | 32649523 |
Table from the Imperial Edition of the Essence of Mathematical Principles
| Number | Mantissa (Lead) | Mantissa (Final) |
|---|---|---|
| 21650 | 43354 | 52498248 |
| 21651 | 43354 | 72341831 |
| 21652 | 43354 | 92180272 |
| 21653 | 43355 | 12013573 |
| 21654 | 43355 | 31841734 |
| 21655 | 43355 | 51664756 |
| 21656 | 43355 | 71482639 |
| 21657 | 43355 | 91295385 |
| 21658 | 43356 | 11103094 |
| 21659 | 43356 | 31090566 |
| 21660 | 43356 | 51072803 |
| 21661 | 43356 | 71050304 |
| 21662 | 43356 | 91022871 |
| 21663 | 43357 | 10990503 |
| 21664 | 43357 | 30953101 |
| 21665 | 43357 | 50910765 |
| 21666 | 43357 | 70863495 |
| 21667 | 43357 | 90811292 |
| 21668 | 43358 | 10754157 |
| 21669 | 43358 | 30692090 |
| 21670 | 43358 | 50625091 |
| 21671 | 43358 | 70553160 |
| 21672 | 43358 | 90476298 |
| 21673 | 43359 | 10394505 |
| 21674 | 43359 | 30307781 |
| 21675 | 43359 | 50216127 |
| 21676 | 43359 | 70119543 |
| 21677 | 43359 | 90018031 |
| 21678 | 43360 | 19911591 |
| 21679 | 43360 | 39800224 |
| 21680 | 43360 | 59683931 |
| 21681 | 43360 | 79562713 |
| 21682 | 43360 | 99436570 |
| 21683 | 43361 | 19305503 |
| 21684 | 43361 | 39169513 |
| 21685 | 43361 | 59028599 |
| 21686 | 43361 | 78882763 |
| 21687 | 43361 | 98731996 |
| 21688 | 43362 | 18576307 |
| 21689 | 43362 | 38415699 |
| 21690 | 43362 | 58250172 |
| 21691 | 43362 | 78080729 |
| 21692 | 43362 | 97906373 |
| + 21693 | 43363 | 17727113 The '+' mark here likely indicates a carry or a specific rounding adjustment noted by the original Qing dynasty mathematicians. |
| 21694 | 43363 | 37542941 |
| 21695 | 43363 | 57353862 |
| 21696 | 43363 | 77163149 |
| 21697 | 43363 | 96969840 |
| 21698 | 43364 | 16771636 |
| 21699 | 43364 | 36568539 |
| 21700 | 43364 | 56360551 |