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Ratio Atlas
Atlas › Integer Profiles › Node 37,240
37,240
23 × 5 × 72 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 102,600
Proper Divisor Sum 65,360
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #37223 ← → #37243

Radix Representation

Decimal 37240
Binary 1001000101111000 (16 bits)
Octal 0o110570
Hexadecimal 0x9178

Divisor Catalog (48)

1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1,064 1,330 1,862 1,960 2,660 3,724 4,655 5,320 7,448 9,310 18,620 37,240

Collatz Trajectory (93 steps to reach 1)

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

37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238

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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