2⁶ × 3 × 5² × 67

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 1,070,864

Proper Divisor Sum 749,264

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #321593 ← → #321611

Radix Representation

Decimal	321600
Binary	1001110100001000000 (19 bits)
Octal	0o1164100
Hexadecimal	0x4E840

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 67 75 80 96 100 120 134 150 160 192 200 201 240 268 300 320 335 400 402 480 536 600 670 800 804 960 1,005 1,072 1,200 1,340 1,600 1,608 1,675 2,010 2,144 2,400 2,680 3,216 3,350

Collatz Trajectory (122 steps to reach 1)

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

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 2,045

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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