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Ratio Atlas
Atlas › Integer Profiles › Node 801,344
801,344
26 × 19 × 659
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 19 × 659
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 1,676,400
Proper Divisor Sum 875,056
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #801341 ← → #801349

Radix Representation

Decimal 801344
Binary 11000011101001000000 (20 bits)
Octal 0o3035100
Hexadecimal 0xC3A40

Divisor Catalog (28)

1 2 4 8 16 19 32 38 64 76 152 304 608 659 1,216 1,318 2,636 5,272 10,544 12,521 21,088 25,042 42,176 50,084 100,168 200,336 400,672 801,344

Collatz Trajectory (69 steps to reach 1)

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

801,344 400,672 200,336 100,168 50,084 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26

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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