2⁶ × 3 × 41

Prime Factor Structure

Factorization String 2^6 × 3 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 21,336

Proper Divisor Sum 13,464

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7867 ← → #7873

Radix Representation

Decimal	7872
Binary	1111011000000 (13 bits)
Octal	0o17300
Hexadecimal	0x1EC0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1,312 1,968 2,624 3,936 7,872

Collatz Trajectory (52 steps to reach 1)

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

7,872 3,936 1,968 984 492 246 123 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 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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