2³ × 5² × 41

Prime Factor Structure

Factorization String 2^3 × 5^2 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,530

Proper Divisor Sum 11,330

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #8191 ← → #8209

Radix Representation

Decimal	8200
Binary	10000000001000 (14 bits)
Octal	0o20010
Hexadecimal	0x2008

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1,025 1,640 2,050 4,100 8,200

Collatz Trajectory (39 steps to reach 1)

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

8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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