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Ratio Atlas
Atlas › Integer Profiles › Node 801,040
801,040
24 × 5 × 17 × 19 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 19 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 2,142,720
Proper Divisor Sum 1,341,680
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #801037 ← → #801061

Radix Representation

Decimal 801040
Binary 11000011100100010000 (20 bits)
Octal 0o3034420
Hexadecimal 0xC3910

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 17 19 20 31 34 38 40 62 68 76 80 85 95 124 136 152 155 170 190 248 272 304 310 323 340 380 496 527 589 620 646 680 760 1,054 1,178 1,240 1,292 1,360 1,520 1,615 2,108 2,356 2,480 2,584 2,635 2,945 3,230 4,216 4,712 5,168 5,270 5,890 6,460

Collatz Trajectory (69 steps to reach 1)

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

801,040 400,520 200,260 100,130 50,065 150,196 75,098 37,549 112,648 56,324 28,162 14,081 42,244 21,122 10,561 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

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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