2⁷ × 3² × 7 × 127

Prime Factor Structure

Factorization String 2^7 × 3^2 × 7 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,394,560

Proper Divisor Sum 2,370,432

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1024103 ← → #1024151

Radix Representation

Decimal	1024128
Binary	11111010000010000000 (20 bits)
Octal	0o3720200
Hexadecimal	0xFA080

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 127 128 144 168 192 224 252 254 288 336 381 384 448 504 508 576 672 762 889 896 1,008 1,016 1,143 1,152 1,344 1,524 1,778 2,016 2,032 2,286 2,667 2,688 3,048

Collatz Trajectory (59 steps to reach 1)

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

1,024,128 512,064 256,032 128,016 64,008 32,004 16,002 8,001 24,004 12,002 6,001 18,004 9,002 4,501 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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