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Ratio Atlas
Atlas › Integer Profiles › Node 3,333,200
3,333,200
24 × 52 × 13 × 641
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 13 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 8,637,468
Proper Divisor Sum 5,304,268
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3333199 ← → #3333203

Radix Representation

Decimal 3333200
Binary 1100101101110001010000 (22 bits)
Octal 0o14556120
Hexadecimal 0x32DC50

Divisor Catalog (60)

1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 641 650 1,040 1,282 1,300 2,564 2,600 3,205 5,128 5,200 6,410 8,333 10,256 12,820 16,025 16,666 25,640 32,050 33,332 41,665 51,280 64,100 66,664 83,330 128,200 133,328 166,660 208,325 256,400 333,320 416,650 666,640 833,300 1,666,600 3,333,200

Collatz Trajectory (84 steps to reach 1)

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

3,333,200 1,666,600 833,300 416,650 208,325 624,976 312,488 156,244 78,122 39,061 117,184 58,592 29,296 14,648 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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