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Ratio Atlas
Atlas › Integer Profiles › Node 82,040
82,040
23 × 5 × 7 × 293
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 211,680
Proper Divisor Sum 129,640
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #82039 ← → #82051

Radix Representation

Decimal 82040
Binary 10100000001111000 (17 bits)
Octal 0o240170
Hexadecimal 0x14078

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 293 586 1,172 1,465 2,051 2,344 2,930 4,102 5,860 8,204 10,255 11,720 16,408 20,510 41,020 82,040

Collatz Trajectory (151 steps to reach 1)

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

82,040 41,020 20,510 10,255 30,766 15,383 46,150 23,075 69,226 34,613 103,840 51,920 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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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