2³ × 5³ × 41

Prime Factor Structure

Factorization String 2^3 × 5^3 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 98,280

Proper Divisor Sum 57,280

Digit Sum / Digital Root 5 (Root: 5)

Adjacent Primes #40993 ← → #41011

Radix Representation

Decimal	41000
Binary	1010000000101000 (16 bits)
Octal	0o120050
Hexadecimal	0xA028

Divisor Catalog (32)

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

Collatz Trajectory (57 steps to reach 1)

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

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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