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Ratio Atlas
Atlas › Integer Profiles › Node 80,262
80,262
2 × 32 × 73 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7^3 × 13
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 218,400
Proper Divisor Sum 138,138
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #80251 ← → #80263

Radix Representation

Decimal 80262
Binary 10011100110000110 (17 bits)
Octal 0o234606
Hexadecimal 0x13986

Divisor Catalog (48)

1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 343 441 546 637 686 819 882 1,029 1,274 1,638 1,911 2,058 3,087 3,822 4,459 5,733 6,174 8,918 11,466 13,377 26,754 40,131 80,262

Collatz Trajectory (94 steps to reach 1)

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

80,262 40,131 120,394 60,197 180,592 90,296 45,148 22,574 11,287 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077

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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