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Ratio Atlas
Atlas › Integer Profiles › Node 800,320
800,320
26 × 5 × 41 × 61
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 41 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 1,984,248
Proper Divisor Sum 1,183,928
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #800311 ← → #800329

Radix Representation

Decimal 800320
Binary 11000011011001000000 (20 bits)
Octal 0o3033100
Hexadecimal 0xC3640

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 41 61 64 80 82 122 160 164 205 244 305 320 328 410 488 610 656 820 976 1,220 1,312 1,640 1,952 2,440 2,501 2,624 3,280 3,904 4,880 5,002 6,560 9,760 10,004 12,505 13,120 19,520 20,008 25,010 40,016 50,020 80,032 100,040 160,064 200,080 400,160 800,320

Collatz Trajectory (162 steps to reach 1)

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

800,320 400,160 200,080 100,040 50,020 25,010 12,505 37,516 18,758 9,379 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143

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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