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Ratio Atlas
Atlas › Integer Profiles › Node 399,504
399,504
24 × 3 × 7 × 29 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 29 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,249,920
Proper Divisor Sum 850,416
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #399499 ← → #399523

Radix Representation

Decimal 399504
Binary 1100001100010010000 (19 bits)
Octal 0o1414220
Hexadecimal 0x61890

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 29 41 42 48 56 58 82 84 87 112 116 123 164 168 174 203 232 246 287 328 336 348 406 464 492 574 609 656 696 812 861 984 1,148 1,189 1,218 1,392 1,624 1,722 1,968 2,296 2,378 2,436 3,248 3,444 3,567 4,592 4,756

Collatz Trajectory (55 steps to reach 1)

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

399,504 199,752 99,876 49,938 24,969 74,908 37,454 18,727 56,182 28,091 84,274 42,137 126,412 63,206 31,603 94,810 47,405 142,216 71,108 35,554 17,777 53,332 26,666 13,333 40,000 20,000 10,000 5,000 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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