2⁵ × 3 × 443

Prime Factor Structure

Factorization String 2^5 × 3 × 443

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 111,888

Proper Divisor Sum 69,360

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #42509 ← → #42533

Radix Representation

Decimal	42528
Binary	1010011000100000 (16 bits)
Octal	0o123040
Hexadecimal	0xA620

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 443 886 1,329 1,772 2,658 3,544 5,316 7,088 10,632 14,176 21,264 42,528

Collatz Trajectory (57 steps to reach 1)

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

42,528 21,264 10,632 5,316 2,658 1,329 3,988 1,994 997 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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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