2⁴ × 3 × 5² × 7

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 7

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 30,752

Proper Divisor Sum 22,352

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #8389 ← → #8419

Radix Representation

Decimal	8400
Binary	10000011010000 (14 bits)
Octal	0o20320
Hexadecimal	0x20D0

Divisor Catalog (60)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1,050 1,200 1,400 1,680 2,100 2,800 4,200 8,400

Collatz Trajectory (34 steps to reach 1)

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

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 #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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