2⁵ × 3 × 13 × 17 × 23 × 41

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 17 × 23 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 64,012,032

Proper Divisor Sum 44,005,344

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #20006683 ← → #20006717

Radix Representation

Decimal	20006688
Binary	1001100010100011100100000 (25 bits)
Octal	0o114243440
Hexadecimal	0x1314720

Divisor Catalog (60 of 192)

1 2 3 4 6 8 12 13 16 17 23 24 26 32 34 39 41 46 48 51 52 68 69 78 82 92 96 102 104 123 136 138 156 164 184 204 208 221 246 272 276 299 312 328 368 391 408 416 442 492 533 544 552 598 624 656 663 697 736 782

Collatz Trajectory (164 steps to reach 1)

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

20,006,688 10,003,344 5,001,672 2,500,836 1,250,418 625,209 1,875,628 937,814 468,907 1,406,722 703,361 2,110,084 1,055,042 527,521 1,582,564 791,282 395,641 1,186,924 593,462 296,731 890,194 445,097 1,335,292 667,646 333,823 1,001,470 500,735 1,502,206 751,103 2,253,310 1,126,655 3,379,966 1,689,983 5,069,950 2,534,975 7,604,926 3,802,463 11,407,390 5,703,695 17,111,086 8,555,543 25,666,630 12,833,315 38,499,946 19,249,973 57,749,920 28,874,960 14,437,480 7,218,740 3,609,370 1,804,685 5,414,056 2,707,028 1,353,514 676,757 2,030,272 1,015,136 507,568 253,784 126,892

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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