2⁴ × 3³ × 11² × 167

Prime Factor Structure

Factorization String 2^4 × 3^3 × 11^2 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 27,706,560

Proper Divisor Sum 18,977,136

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8729411 ← → #8729429

Radix Representation

Decimal	8729424
Binary	100001010011001101010000 (24 bits)
Octal	0o41231520
Hexadecimal	0x853350

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 167 176 198 216 242 264 297 334 363 396 432 484 501 528 594 668 726 792 968 1,002 1,089 1,188 1,336 1,452 1,503 1,584 1,837 1,936 2,004 2,178 2,376 2,672 2,904

Collatz Trajectory (181 steps to reach 1)

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

8,729,424 4,364,712 2,182,356 1,091,178 545,589 1,636,768 818,384 409,192 204,596 102,298 51,149 153,448 76,724 38,362 19,181 57,544 28,772 14,386 7,193 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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