2⁷ × 7 × 47

Prime Factor Structure

Factorization String 2^7 × 7 × 47

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 97,920

Proper Divisor Sum 55,808

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #42101 ← → #42131

Radix Representation

Decimal	42112
Binary	1010010010000000 (16 bits)
Octal	0o122200
Hexadecimal	0xA480

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 329 376 448 658 752 896 1,316 1,504 2,632 3,008 5,264 6,016 10,528 21,056 42,112

Collatz Trajectory (57 steps to reach 1)

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

42,112 21,056 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 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 #6,449,649 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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