2⁴ × 5 × 109

Prime Factor Structure

Factorization String 2^4 × 5 × 109

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 20,460

Proper Divisor Sum 11,740

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #8719 ← → #8731

Radix Representation

Decimal	8720
Binary	10001000010000 (14 bits)
Octal	0o21020
Hexadecimal	0x2210

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1,090 1,744 2,180 4,360 8,720

Collatz Trajectory (47 steps to reach 1)

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

8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 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 #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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