λ
Ratio Atlas
Atlas › Integer Profiles › Node 127,380
127,380
22 × 3 × 5 × 11 × 193
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 391,104
Proper Divisor Sum 263,724
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #127373 ← → #127399

Radix Representation

Decimal 127380
Binary 11111000110010100 (17 bits)
Octal 0o370624
Hexadecimal 0x1F194

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 193 220 330 386 579 660 772 965 1,158 1,930 2,123 2,316 2,895 3,860 4,246 5,790 6,369 8,492 10,615 11,580 12,738 21,230 25,476 31,845 42,460 63,690 127,380

Collatz Trajectory (149 steps to reach 1)

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

127,380 63,690 31,845 95,536 47,768 23,884 11,942 5,971 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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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