2³ × 3 × 7 × 11 × 13² × 31

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 13^2 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 33,730,560

Proper Divisor Sum 24,048,888

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9681649 ← → #9681677

Radix Representation

Decimal	9681672
Binary	100100111011101100001000 (24 bits)
Octal	0o44735410
Hexadecimal	0x93BB08

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 31 33 39 42 44 52 56 62 66 77 78 84 88 91 93 104 124 132 143 154 156 168 169 182 186 217 231 248 264 273 286 308 312 338 341 364 372 403 429 434 462 507 546 572

Collatz Trajectory (238 steps to reach 1)

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

9,681,672 4,840,836 2,420,418 1,210,209 3,630,628 1,815,314 907,657 2,722,972 1,361,486 680,743 2,042,230 1,021,115 3,063,346 1,531,673 4,595,020 2,297,510 1,148,755 3,446,266 1,723,133 5,169,400 2,584,700 1,292,350 646,175 1,938,526 969,263 2,907,790 1,453,895 4,361,686 2,180,843 6,542,530 3,271,265 9,813,796 4,906,898 2,453,449 7,360,348 3,680,174 1,840,087 5,520,262 2,760,131 8,280,394 4,140,197 12,420,592 6,210,296 3,105,148 1,552,574 776,287 2,328,862 1,164,431 3,493,294 1,746,647 5,239,942 2,619,971 7,859,914 3,929,957 11,789,872 5,894,936 2,947,468 1,473,734 736,867 2,210,602

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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