2² × 3² × 5 × 7²

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 31,122

Proper Divisor Sum 22,302

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8819 ← → #8821

Radix Representation

Decimal	8820
Binary	10001001110100 (14 bits)
Octal	0o21164
Hexadecimal	0x2274

Divisor Catalog (54)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1,260 1,470 1,764 2,205 2,940 4,410 8,820

Collatz Trajectory (47 steps to reach 1)

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

8,820 4,410 2,205 6,616 3,308 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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