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Ratio Atlas
Atlas › Integer Profiles › Node 393,600
393,600
27 × 3 × 52 × 41
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,328,040
Proper Divisor Sum 934,440
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #393593 ← → #393611

Radix Representation

Decimal 393600
Binary 1100000000110000000 (19 bits)
Octal 0o1400600
Hexadecimal 0x60180

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 64 75 80 82 96 100 120 123 128 150 160 164 192 200 205 240 246 300 320 328 384 400 410 480 492 600 615 640 656 800 820 960 984 1,025 1,200 1,230 1,312 1,600 1,640

Collatz Trajectory (161 steps to reach 1)

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

393,600 196,800 98,400 49,200 24,600 12,300 6,150 3,075 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71

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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