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Ratio Atlas
Atlas › Integer Profiles › Node 613,200
613,200
24 × 3 × 52 × 7 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 7 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 2,275,648
Proper Divisor Sum 1,662,448
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #613199 ← → #613213

Radix Representation

Decimal 613200
Binary 10010101101101010000 (20 bits)
Octal 0o2255520
Hexadecimal 0x95B50

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 73 75 80 84 100 105 112 120 140 146 150 168 175 200 210 219 240 280 292 300 336 350 365 400 420 438 511 525 560 584 600 700 730

Collatz Trajectory (40 steps to reach 1)

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

613,200 306,600 153,300 76,650 38,325 114,976 57,488 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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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