2² × 3² × 7 × 11 × 29

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 11 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 262,080

Proper Divisor Sum 181,692

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #80387 ← → #80407

Radix Representation

Decimal	80388
Binary	10011101000000100 (17 bits)
Octal	0o235004
Hexadecimal	0x13A04

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 11 12 14 18 21 22 28 29 33 36 42 44 58 63 66 77 84 87 99 116 126 132 154 174 198 203 231 252 261 308 319 348 396 406 462 522 609 638 693 812 924 957 1,044 1,218 1,276 1,386 1,827 1,914 2,233 2,436 2,772 2,871 3,654

Collatz Trajectory (94 steps to reach 1)

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

80,388 40,194 20,097 60,292 30,146 15,073 45,220 22,610 11,305 33,916 16,958 8,479 25,438 12,719 38,158 19,079 57,238 28,619 85,858 42,929 128,788 64,394 32,197 96,592 48,296 24,148 12,074 6,037 18,112 9,056 4,528 2,264 1,132 566 283 850 425 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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