2³ × 3⁴ × 7 × 17 × 113

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 17 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 29,795,040

Proper Divisor Sum 21,081,384

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8713643 ← → #8713693

Radix Representation

Decimal	8713656
Binary	100001001111010110111000 (24 bits)
Octal	0o41172670
Hexadecimal	0x84F5B8

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 113 119 126 136 153 162 168 189 204 216 226 238 252 306 324 339 357 378 408 452 459 476 504 567 612 648 678 714 756 791 904

Collatz Trajectory (243 steps to reach 1)

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

8,713,656 4,356,828 2,178,414 1,089,207 3,267,622 1,633,811 4,901,434 2,450,717 7,352,152 3,676,076 1,838,038 919,019 2,757,058 1,378,529 4,135,588 2,067,794 1,033,897 3,101,692 1,550,846 775,423 2,326,270 1,163,135 3,489,406 1,744,703 5,234,110 2,617,055 7,851,166 3,925,583 11,776,750 5,888,375 17,665,126 8,832,563 26,497,690 13,248,845 39,746,536 19,873,268 9,936,634 4,968,317 14,904,952 7,452,476 3,726,238 1,863,119 5,589,358 2,794,679 8,384,038 4,192,019 12,576,058 6,288,029 18,864,088 9,432,044 4,716,022 2,358,011 7,074,034 3,537,017 10,611,052 5,305,526 2,652,763 7,958,290 3,979,145 11,937,436

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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