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Ratio Atlas
Atlas › Integer Profiles › Node 396,000
396,000
25 × 32 × 53 × 11
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,533,168
Proper Divisor Sum 1,137,168
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #395971 ← → #396001

Radix Representation

Decimal 396000
Binary 1100000101011100000 (19 bits)
Octal 0o1405340
Hexadecimal 0x60AE0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 96 99 100 110 120 125 132 144 150 160 165 176 180 198 200 220 225 240 250 264 275 288 300 330 352

Collatz Trajectory (68 steps to reach 1)

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

396,000 198,000 99,000 49,500 24,750 12,375 37,126 18,563 55,690 27,845 83,536 41,768 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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