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Ratio Atlas
Atlas › Integer Profiles › Node 397,800
397,800
23 × 32 × 52 × 13 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 13 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,523,340
Proper Divisor Sum 1,125,540
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #397799 ← → #397807

Radix Representation

Decimal 397800
Binary 1100001000111101000 (19 bits)
Octal 0o1410750
Hexadecimal 0x611E8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 13 15 17 18 20 24 25 26 30 34 36 39 40 45 50 51 52 60 65 68 72 75 78 85 90 100 102 104 117 120 130 136 150 153 156 170 180 195 200 204 221 225 234 255 260 300 306 312 325 340

Collatz Trajectory (68 steps to reach 1)

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

397,800 198,900 99,450 49,725 149,176 74,588 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 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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