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Ratio Atlas
Atlas › Integer Profiles › Node 428,400
428,400
24 × 32 × 52 × 7 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 7 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 180
Divisor Sum (σ) 1,798,992
Proper Divisor Sum 1,370,592
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #428369 ← → #428401

Radix Representation

Decimal 428400
Binary 1101000100101110000 (19 bits)
Octal 0o1504560
Hexadecimal 0x68970

Divisor Catalog (60 of 180)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 34 35 36 40 42 45 48 50 51 56 60 63 68 70 72 75 80 84 85 90 100 102 105 112 119 120 126 136 140 144 150 153 168 170 175 180 200 204

Collatz Trajectory (143 steps to reach 1)

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

428,400 214,200 107,100 53,550 26,775 80,326 40,163 120,490 60,245 180,736 90,368 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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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