2⁶ × 3² × 7 × 17 × 131

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 17 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 31,382,208

Proper Divisor Sum 22,402,944

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8979263 ← → #8979293

Radix Representation

Decimal	8979264
Binary	100010010000001101000000 (24 bits)
Octal	0o42201500
Hexadecimal	0x890340

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 131 136 144 153 168 192 204 224 238 252 262 272 288 306 336 357 393 408 448 476 504 524 544 576 612 672 714

Collatz Trajectory (111 steps to reach 1)

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

8,979,264 4,489,632 2,244,816 1,122,408 561,204 280,602 140,301 420,904 210,452 105,226 52,613 157,840 78,920 39,460 19,730 9,865 29,596 14,798 7,399 22,198 11,099 33,298 16,649 49,948 24,974 12,487 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220 31,610 15,805 47,416 23,708 11,854 5,927 17,782 8,891 26,674 13,337 40,012 20,006 10,003 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441 25,324 12,662 6,331 18,994 9,497

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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