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Ratio Atlas
Atlas › Integer Profiles › Node 1,968,000
1,968,000
27 × 3 × 53 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 5^3 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 6,683,040
Proper Divisor Sum 4,715,040
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1967947 ← → #1968017

Radix Representation

Decimal 1968000
Binary 111100000011110000000 (21 bits)
Octal 0o7403600
Hexadecimal 0x1E0780

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 64 75 80 82 96 100 120 123 125 128 150 160 164 192 200 205 240 246 250 300 320 328 375 384 400 410 480 492 500 600 615 640 656 750 800 820 960 984 1,000

Collatz Trajectory (65 steps to reach 1)

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

1,968,000 984,000 492,000 246,000 123,000 61,500 30,750 15,375 46,126 23,063 69,190 34,595 103,786 51,893 155,680 77,840 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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