λ
Ratio Atlas
Atlas › Integer Profiles › Node 394,800
394,800
24 × 3 × 52 × 7 × 47
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 7 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 1,476,096
Proper Divisor Sum 1,081,296
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #394787 ← → #394811

Radix Representation

Decimal 394800
Binary 1100000011000110000 (19 bits)
Octal 0o1403060
Hexadecimal 0x60630

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 47 48 50 56 60 70 75 80 84 94 100 105 112 120 140 141 150 168 175 188 200 210 235 240 280 282 300 329 336 350 376 400 420 470 525 560 564 600

Collatz Trajectory (117 steps to reach 1)

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

394,800 197,400 98,700 49,350 24,675 74,026 37,013 111,040 55,520 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425

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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