2⁴ × 3⁴ × 5 × 31

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 720,192

Proper Divisor Sum 519,312

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #200869 ← → #200881

Radix Representation

Decimal	200880
Binary	110001000010110000 (18 bits)
Octal	0o610260
Hexadecimal	0x310B0

Divisor Catalog (60 of 100)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 81 90 93 108 120 124 135 144 155 162 180 186 216 240 248 270 279 310 324 360 372 405 432 465 496 540 558 620 648 720 744 810 837

Collatz Trajectory (111 steps to reach 1)

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

200,880 100,440 50,220 25,110 12,555 37,666 18,833 56,500 28,250 14,125 42,376 21,188 10,594 5,297 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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