2⁵ × 3² × 5 × 11 × 563

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 11 × 563

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 33,257,952

Proper Divisor Sum 24,340,032

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8917913 ← → #8917927

Radix Representation

Decimal	8917920
Binary	100010000001001110100000 (24 bits)
Octal	0o42011640
Hexadecimal	0x8813A0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 563 660 720 792 880

Collatz Trajectory (163 steps to reach 1)

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

8,917,920 4,458,960 2,229,480 1,114,740 557,370 278,685 836,056 418,028 209,014 104,507 313,522 156,761 470,284 235,142 117,571 352,714 176,357 529,072 264,536 132,268 66,134 33,067 99,202 49,601 148,804 74,402 37,201 111,604 55,802 27,901 83,704 41,852 20,926 10,463 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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