λ
Ratio Atlas
Atlas › Integer Profiles › Node 387,600
387,600
24 × 3 × 52 × 17 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 17 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 1,383,840
Proper Divisor Sum 996,240
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #387587 ← → #387613

Radix Representation

Decimal 387600
Binary 1011110101000010000 (19 bits)
Octal 0o1365020
Hexadecimal 0x5EA10

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 30 34 38 40 48 50 51 57 60 68 75 76 80 85 95 100 102 114 120 136 150 152 170 190 200 204 228 240 255 272 285 300 304 323 340 380 400 408 425 456 475 510 570 600

Collatz Trajectory (73 steps to reach 1)

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

387,600 193,800 96,900 48,450 24,225 72,676 36,338 18,169 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70

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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