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Ratio Atlas
Atlas › Integer Profiles › Node 392,400
392,400
24 × 32 × 52 × 109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 1,374,230
Proper Divisor Sum 981,830
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #392389 ← → #392423

Radix Representation

Decimal 392400
Binary 1011111110011010000 (19 bits)
Octal 0o1376320
Hexadecimal 0x5FCD0

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 109 120 144 150 180 200 218 225 240 300 327 360 400 436 450 545 600 654 720 872 900 981 1,090 1,200 1,308 1,635 1,744 1,800 1,962 2,180 2,616 2,725

Collatz Trajectory (161 steps to reach 1)

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

392,400 196,200 98,100 49,050 24,525 73,576 36,788 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71

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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