2² × 3² × 107

Prime Factor Structure

Factorization String 2^2 × 3^2 × 107

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,828

Proper Divisor Sum 5,976

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3851 ← → #3853

Radix Representation

Decimal	3852
Binary	111100001100 (12 bits)
Octal	0o7414
Hexadecimal	0xF0C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1,284 1,926 3,852

Collatz Trajectory (51 steps to reach 1)

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

3,852 1,926 963 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 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 #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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