2⁶ × 3 × 5² × 7

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 7

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 125,984

Proper Divisor Sum 92,384

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #33599 ← → #33601

Radix Representation

Decimal	33600
Binary	1000001101000000 (16 bits)
Octal	0o101500
Hexadecimal	0x8340

Divisor Catalog (60 of 84)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 140 150 160 168 175 192 200 210 224 240 280 300 320 336 350 400 420 448 480 525 560 600 672

Collatz Trajectory (36 steps to reach 1)

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

33,600 16,800 8,400 4,200 2,100 1,050 525 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 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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