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Ratio Atlas
Atlas › Integer Profiles › Node 800,016
800,016
24 × 3 × 7 × 2381
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 2381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,362,944
Proper Divisor Sum 1,562,928
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #800011 ← → #800029

Radix Representation

Decimal 800016
Binary 11000011010100010000 (20 bits)
Octal 0o3032420
Hexadecimal 0xC3510

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2,381 4,762 7,143 9,524 14,286 16,667 19,048 28,572 33,334 38,096 50,001 57,144 66,668 100,002 114,288 133,336 200,004 266,672 400,008 800,016

Collatz Trajectory (56 steps to reach 1)

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

800,016 400,008 200,004 100,002 50,001 150,004 75,002 37,501 112,504 56,252 28,126 14,063 42,190 21,095 63,286 31,643 94,930 47,465 142,396 71,198 35,599 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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