2⁵ × 3 × 5² × 7

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 62,496

Proper Divisor Sum 45,696

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #16787 ← → #16811

Radix Representation

Decimal	16800
Binary	100000110100000 (15 bits)
Octal	0o40640
Hexadecimal	0x41A0

Divisor Catalog (60 of 72)

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 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1,050

Collatz Trajectory (35 steps to reach 1)

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

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 #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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