λ
Ratio Atlas
Atlas › Integer Profiles › Node 830,200
830,200
23 × 52 × 7 × 593
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,209,680
Proper Divisor Sum 1,379,480
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #830191 ← → #830233

Radix Representation

Decimal 830200
Binary 11001010101011111000 (20 bits)
Octal 0o3125370
Hexadecimal 0xCAAF8

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 593 700 1,186 1,400 2,372 2,965 4,151 4,744 5,930 8,302 11,860 14,825 16,604 20,755 23,720 29,650 33,208 41,510 59,300 83,020 103,775 118,600 166,040 207,550 415,100 830,200

Collatz Trajectory (131 steps to reach 1)

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

830,200 415,100 207,550 103,775 311,326 155,663 466,990 233,495 700,486 350,243 1,050,730 525,365 1,576,096 788,048 394,024 197,012 98,506 49,253 147,760 73,880 36,940 18,470 9,235 27,706 13,853 41,560 20,780 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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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