2⁷ × 3 × 5² × 7

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 252,960

Proper Divisor Sum 185,760

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #67189 ← → #67211

Radix Representation

Decimal	67200
Binary	10000011010000000 (17 bits)
Octal	0o203200
Hexadecimal	0x10680

Divisor Catalog (60 of 96)

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 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 280 300 320 336 350 384 400 420 448 480 525 560

Collatz Trajectory (37 steps to reach 1)

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

67,200 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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