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Ratio Atlas
Atlas › Integer Profiles › Node 398,400
398,400
26 × 3 × 52 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 1,322,832
Proper Divisor Sum 924,432
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #398393 ← → #398407

Radix Representation

Decimal 398400
Binary 1100001010001000000 (19 bits)
Octal 0o1412100
Hexadecimal 0x61440

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 83 96 100 120 150 160 166 192 200 240 249 300 320 332 400 415 480 498 600 664 800 830 960 996 1,200 1,245 1,328 1,600 1,660 1,992 2,075 2,400 2,490 2,656 3,320 3,984 4,150

Collatz Trajectory (42 steps to reach 1)

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

398,400 199,200 99,600 49,800 24,900 12,450 6,225 18,676 9,338 4,669 14,008 7,004 3,502 1,751 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 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 #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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