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Ratio Atlas
Atlas › Integer Profiles › Node 437,400
437,400
23 × 37 × 52
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,525,200
Proper Divisor Sum 1,087,800
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #437389 ← → #437401

Radix Representation

Decimal 437400
Binary 1101010110010011000 (19 bits)
Octal 0o1526230
Hexadecimal 0x6AC98

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 729 810 900 972 1,080 1,215 1,350 1,458 1,620 1,800 1,944

Collatz Trajectory (156 steps to reach 1)

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

437,400 218,700 109,350 54,675 164,026 82,013 246,040 123,020 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

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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