2 × 3³ × 7 × 17 × 31 × 41

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 17 × 31 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 23,224,320

Proper Divisor Sum 15,056,874

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8167433 ← → #8167447

Radix Representation

Decimal	8167446
Binary	11111001010000000010110 (23 bits)
Octal	0o37120026
Hexadecimal	0x7CA016

Divisor Catalog (60 of 128)

1 2 3 6 7 9 14 17 18 21 27 31 34 41 42 51 54 62 63 82 93 102 119 123 126 153 186 189 217 238 246 279 287 306 357 369 378 434 459 527 558 574 651 697 714 738 837 861 918 1,054 1,071 1,107 1,271 1,302 1,394 1,581 1,674 1,722 1,953 2,091

Collatz Trajectory (155 steps to reach 1)

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

8,167,446 4,083,723 12,251,170 6,125,585 18,376,756 9,188,378 4,594,189 13,782,568 6,891,284 3,445,642 1,722,821 5,168,464 2,584,232 1,292,116 646,058 323,029 969,088 484,544 242,272 121,136 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

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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