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Ratio Atlas
Atlas › Integer Profiles › Node 37,740
37,740
22 × 3 × 5 × 17 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 114,912
Proper Divisor Sum 77,172
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #37717 ← → #37747

Radix Representation

Decimal 37740
Binary 1001001101101100 (16 bits)
Octal 0o111554
Hexadecimal 0x936C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1,020 1,110 1,258 1,887 2,220 2,516 3,145 3,774 6,290 7,548 9,435 12,580 18,870 37,740

Collatz Trajectory (155 steps to reach 1)

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

37,740 18,870 9,435 28,306 14,153 42,460 21,230 10,615 31,846 15,923 47,770 23,885 71,656 35,828 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

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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