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Ratio Atlas
Atlas › Integer Profiles › Node 37,520
37,520
24 × 5 × 7 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 101,184
Proper Divisor Sum 63,664
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #37517 ← → #37529

Radix Representation

Decimal 37520
Binary 1001001010010000 (16 bits)
Octal 0o111220
Hexadecimal 0x9290

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1,072 1,340 1,876 2,345 2,680 3,752 4,690 5,360 7,504 9,380 18,760 37,520

Collatz Trajectory (155 steps to reach 1)

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

37,520 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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