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Ratio Atlas
Atlas › Integer Profiles › Node 50,085
50,085
33 × 5 × 7 × 53
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 103,680
Proper Divisor Sum 53,595
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #50077 ← → #50087

Radix Representation

Decimal 50085
Binary 1100001110100101 (16 bits)
Octal 0o141645
Hexadecimal 0xC3A5

Divisor Catalog (32)

1 3 5 7 9 15 21 27 35 45 53 63 105 135 159 189 265 315 371 477 795 945 1,113 1,431 1,855 2,385 3,339 5,565 7,155 10,017 16,695 50,085

Collatz Trajectory (65 steps to reach 1)

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

50,085 150,256 75,128 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 13 40 20 10

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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