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Ratio Atlas
Atlas › Integer Profiles › Node 39,600
39,600
24 × 32 × 52 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 11
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 149,916
Proper Divisor Sum 110,316
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #39581 ← → #39607

Radix Representation

Decimal 39600
Binary 1001101010110000 (16 bits)
Octal 0o115260
Hexadecimal 0x9AB0

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 99 100 110 120 132 144 150 165 176 180 198 200 220 225 240 264 275 300 330 360 396 400 440 450 495 528

Collatz Trajectory (75 steps to reach 1)

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

39,600 19,800 9,900 4,950 2,475 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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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