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Ratio Atlas
Atlas › Integer Profiles › Node 82,082
82,082
2 × 7 × 11 × 13 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 169,344
Proper Divisor Sum 87,262
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #82073 ← → #82129

Radix Representation

Decimal 82082
Binary 10100000010100010 (17 bits)
Octal 0o240242
Hexadecimal 0x140A2

Divisor Catalog (32)

1 2 7 11 13 14 22 26 41 77 82 91 143 154 182 286 287 451 533 574 902 1,001 1,066 2,002 3,157 3,731 5,863 6,314 7,462 11,726 41,041 82,082

Collatz Trajectory (151 steps to reach 1)

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

82,082 41,041 123,124 61,562 30,781 92,344 46,172 23,086 11,543 34,630 17,315 51,946 25,973 77,920 38,960 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 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 #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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