2³ × 3³ × 11 × 13 × 277

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 13 × 277

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 28,022,400

Proper Divisor Sum 19,466,424

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8555959 ← → #8555999

Radix Representation

Decimal	8555976
Binary	100000101000110111001000 (24 bits)
Octal	0o40506710
Hexadecimal	0x828DC8

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 277 286 297 312 351 396 429 468 554 572 594 702 792 831 858 936 1,108 1,144 1,188 1,287 1,404 1,662 1,716 2,216

Collatz Trajectory (124 steps to reach 1)

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

8,555,976 4,277,988 2,138,994 1,069,497 3,208,492 1,604,246 802,123 2,406,370 1,203,185 3,609,556 1,804,778 902,389 2,707,168 1,353,584 676,792 338,396 169,198 84,599 253,798 126,899 380,698 190,349 571,048 285,524 142,762 71,381 214,144 107,072 53,536 26,768 13,384 6,692 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #5,853,745 Feeder #2,620,216 Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #3,263,093 Feeder #3,737,917 Feeder #3,118,124

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