2⁴ × 5³ × 41

Prime Factor Structure

Factorization String 2^4 × 5^3 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 203,112

Proper Divisor Sum 121,112

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #81973 ← → #82003

Radix Representation

Decimal	82000
Binary	10100000001010000 (17 bits)
Octal	0o240120
Hexadecimal	0x14050

Divisor Catalog (40)

1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1,000 1,025 1,640 2,000 2,050 3,280 4,100 5,125 8,200 10,250 16,400 20,500 41,000 82,000

Collatz Trajectory (58 steps to reach 1)

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

82,000 41,000 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 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 #6,449,649 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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