2⁷ × 3 × 5² × 67

Prime Factor Structure

Factorization String 2^7 × 3 × 5^2 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,150,160

Proper Divisor Sum 1,506,960

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #643199 ← → #643213

Radix Representation

Decimal	643200
Binary	10011101000010000000 (20 bits)
Octal	0o2350200
Hexadecimal	0x9D080

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 67 75 80 96 100 120 128 134 150 160 192 200 201 240 268 300 320 335 384 400 402 480 536 600 640 670 800 804 960 1,005 1,072 1,200 1,340 1,600 1,608 1,675 1,920 2,010 2,144

Collatz Trajectory (123 steps to reach 1)

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

643,200 321,600 160,800 80,400 40,200 20,100 10,050 5,025 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090

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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