λ
Ratio Atlas
Atlas › Integer Profiles › Node 393,360
393,360
24 × 3 × 5 × 11 × 149
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,339,200
Proper Divisor Sum 945,840
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #393331 ← → #393361

Radix Representation

Decimal 393360
Binary 1100000000010010000 (19 bits)
Octal 0o1400220
Hexadecimal 0x60090

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 149 165 176 220 240 264 298 330 440 447 528 596 660 745 880 894 1,192 1,320 1,490 1,639 1,788 2,235 2,384 2,640 2,980 3,278 3,576 4,470 4,917 5,960 6,556 7,152

Collatz Trajectory (55 steps to reach 1)

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

393,360 196,680 98,340 49,170 24,585 73,756 36,878 18,439 55,318 27,659 82,978 41,489 124,468 62,234 31,117 93,352 46,676 23,338 11,669 35,008 17,504 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 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 #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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