2³ × 3² × 5² × 7

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 7

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 48,360

Proper Divisor Sum 35,760

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #12589 ← → #12601

Radix Representation

Decimal	12600
Binary	11000100111000 (14 bits)
Octal	0o30470
Hexadecimal	0x3138

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840

Collatz Trajectory (63 steps to reach 1)

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

12,600 6,300 3,150 1,575 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 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

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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