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Ratio Atlas
Atlas › Integer Profiles › Node 685,200
685,200
24 × 3 × 52 × 571
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 2,198,768
Proper Divisor Sum 1,513,568
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #685199 ← → #685231

Radix Representation

Decimal 685200
Binary 10100111010010010000 (20 bits)
Octal 0o2472220
Hexadecimal 0xA7490

Divisor Catalog (60)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 571 600 1,142 1,200 1,713 2,284 2,855 3,426 4,568 5,710 6,852 8,565 9,136 11,420 13,704 14,275 17,130 22,840 27,408 28,550 34,260 42,825 45,680 57,100 68,520 85,650 114,200 137,040 171,300 228,400 342,600 685,200

Collatz Trajectory (61 steps to reach 1)

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

685,200 342,600 171,300 85,650 42,825 128,476 64,238 32,119 96,358 48,179 144,538 72,269 216,808 108,404 54,202 27,101 81,304 40,652 20,326 10,163 30,490 15,245 45,736 22,868 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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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