2³ × 3 × 7 × 11 × 13 × 337

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 13 × 337

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 27,256,320

Proper Divisor Sum 19,160,232

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8096087 ← → #8096107

Radix Representation

Decimal	8096088
Binary	11110111000100101011000 (23 bits)
Octal	0o36704530
Hexadecimal	0x7B8958

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 337 364 429 462 546 572 616 674 728 858 924 1,001 1,011 1,092 1,144 1,348 1,716 1,848 2,002

Collatz Trajectory (168 steps to reach 1)

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

8,096,088 4,048,044 2,024,022 1,012,011 3,036,034 1,518,017 4,554,052 2,277,026 1,138,513 3,415,540 1,707,770 853,885 2,561,656 1,280,828 640,414 320,207 960,622 480,311 1,440,934 720,467 2,161,402 1,080,701 3,242,104 1,621,052 810,526 405,263 1,215,790 607,895 1,823,686 911,843 2,735,530 1,367,765 4,103,296 2,051,648 1,025,824 512,912 256,456 128,228 64,114 32,057 96,172 48,086 24,043 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122

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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