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Ratio Atlas
Atlas › Integer Profiles › Node 492,000
492,000
25 × 3 × 53 × 41
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,651,104
Proper Divisor Sum 1,159,104
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #491983 ← → #492007

Radix Representation

Decimal 492000
Binary 1111000000111100000 (19 bits)
Octal 0o1700740
Hexadecimal 0x781E0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 75 80 82 96 100 120 123 125 150 160 164 200 205 240 246 250 300 328 375 400 410 480 492 500 600 615 656 750 800 820 984 1,000 1,025 1,200 1,230 1,312 1,500 1,640 1,968

Collatz Trajectory (63 steps to reach 1)

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

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 5 16

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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