2³ × 3² × 7² × 29 × 89

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 29 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 30,010,500

Proper Divisor Sum 20,904,732

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9105749 ← → #9105779

Radix Representation

Decimal	9105768
Binary	100010101111000101101000 (24 bits)
Octal	0o42570550
Hexadecimal	0x8AF168

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 89 98 116 126 147 168 174 178 196 203 232 252 261 267 294 348 356 392 406 441 504 522 534 588 609 623 696 712 801 812 882 1,044 1,068 1,176 1,218 1,246

Collatz Trajectory (106 steps to reach 1)

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

9,105,768 4,552,884 2,276,442 1,138,221 3,414,664 1,707,332 853,666 426,833 1,280,500 640,250 320,125 960,376 480,188 240,094 120,047 360,142 180,071 540,214 270,107 810,322 405,161 1,215,484 607,742 303,871 911,614 455,807 1,367,422 683,711 2,051,134 1,025,567 3,076,702 1,538,351 4,615,054 2,307,527 6,922,582 3,461,291 10,383,874 5,191,937 15,575,812 7,787,906 3,893,953 11,681,860 5,840,930 2,920,465 8,761,396 4,380,698 2,190,349 6,571,048 3,285,524 1,642,762 821,381 2,464,144 1,232,072 616,036 308,018 154,009 462,028 231,014 115,507 346,522

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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