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Ratio Atlas
Atlas › Integer Profiles › Node 397,488
397,488
24 × 3 × 72 × 132
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7^2 × 13^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 1,293,444
Proper Divisor Sum 895,956
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #397469 ← → #397489

Radix Representation

Decimal 397488
Binary 1100001000010110000 (19 bits)
Octal 0o1410260
Hexadecimal 0x610B0

Divisor Catalog (60 of 90)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 169 182 196 208 273 294 312 336 338 364 392 507 546 588 624 637 676 728 784 1,014 1,092 1,176 1,183 1,274 1,352 1,456 1,911 2,028 2,184 2,352

Collatz Trajectory (161 steps to reach 1)

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

397,488 198,744 99,372 49,686 24,843 74,530 37,265 111,796 55,898 27,949 83,848 41,924 20,962 10,481 31,444 15,722 7,861 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71

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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