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Ratio Atlas
Atlas › Integer Profiles › Node 38,520
38,520
23 × 32 × 5 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 126,360
Proper Divisor Sum 87,840
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #38501 ← → #38543

Radix Representation

Decimal 38520
Binary 1001011001111000 (16 bits)
Octal 0o113170
Hexadecimal 0x9678

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1,070 1,284 1,605 1,926 2,140 2,568 3,210 3,852 4,280 4,815 6,420 7,704 9,630 12,840 19,260 38,520

Collatz Trajectory (75 steps to reach 1)

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

38,520 19,260 9,630 4,815 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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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