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Ratio Atlas
Atlas › Integer Profiles › Node 535,080
535,080
23 × 3 × 5 × 73 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7^3 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 2,016,000
Proper Divisor Sum 1,480,920
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #535061 ← → #535099

Radix Representation

Decimal 535080
Binary 10000010101000101000 (20 bits)
Octal 0o2025050
Hexadecimal 0x82A28

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 49 52 56 60 65 70 78 84 91 98 104 105 120 130 140 147 156 168 182 195 196 210 245 260 273 280 294 312 343 364 390 392 420 455 490 520 546

Collatz Trajectory (71 steps to reach 1)

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

535,080 267,540 133,770 66,885 200,656 100,328 50,164 25,082 12,541 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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