λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,901,746
12,901,746
2 × 3 × 112 × 13 × 1367
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 13 × 1367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,566,592
Proper Divisor Sum 17,664,846
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #12901729 ← → #12901747

Radix Representation

Decimal 12901746
Binary 110001001101110101110010 (24 bits)
Octal 0o61156562
Hexadecimal 0xC4DD72

Divisor Catalog (48)

1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1,367 1,573 2,734 3,146 4,101 4,719 8,202 9,438 15,037 17,771 30,074 35,542 45,111 53,313 90,222 106,626 165,407 195,481 330,814 390,962 496,221 586,443 992,442 1,172,886 2,150,291 4,300,582 6,450,873 12,901,746

Collatz Trajectory (179 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

12,901,746 6,450,873 19,352,620 9,676,310 4,838,155 14,514,466 7,257,233 21,771,700 10,885,850 5,442,925 16,328,776 8,164,388 4,082,194 2,041,097 6,123,292 3,061,646 1,530,823 4,592,470 2,296,235 6,888,706 3,444,353 10,333,060 5,166,530 2,583,265 7,749,796 3,874,898 1,937,449 5,812,348 2,906,174 1,453,087 4,359,262 2,179,631 6,538,894 3,269,447 9,808,342 4,904,171 14,712,514 7,356,257 22,068,772 11,034,386 5,517,193 16,551,580 8,275,790 4,137,895 12,413,686 6,206,843 18,620,530 9,310,265 27,930,796 13,965,398 6,982,699 20,948,098 10,474,049 31,422,148 15,711,074 7,855,537 23,566,612 11,783,306 5,891,653 17,674,960

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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