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Ratio Atlas
Atlas › Integer Profiles › Node 5,705,200
5,705,200
24 × 52 × 17 × 839
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 17 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 14,530,320
Proper Divisor Sum 8,825,120
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5705179 ← → #5705201

Radix Representation

Decimal 5705200
Binary 10101110000110111110000 (23 bits)
Octal 0o25606760
Hexadecimal 0x570DF0

Divisor Catalog (60)

1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 839 850 1,360 1,678 1,700 3,356 3,400 4,195 6,712 6,800 8,390 13,424 14,263 16,780 20,975 28,526 33,560 41,950 57,052 67,120 71,315 83,900 114,104 142,630 167,800 228,208 285,260 335,600 356,575 570,520 713,150 1,141,040 1,426,300 2,852,600 5,705,200

Collatz Trajectory (100 steps to reach 1)

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

5,705,200 2,852,600 1,426,300 713,150 356,575 1,069,726 534,863 1,604,590 802,295 2,406,886 1,203,443 3,610,330 1,805,165 5,415,496 2,707,748 1,353,874 676,937 2,030,812 1,015,406 507,703 1,523,110 761,555 2,284,666 1,142,333 3,427,000 1,713,500 856,750 428,375 1,285,126 642,563 1,927,690 963,845 2,891,536 1,445,768 722,884 361,442 180,721 542,164 271,082 135,541 406,624 203,312 101,656 50,828 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034

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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