2³ × 3² × 7 × 13²

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 285,480

Proper Divisor Sum 200,304

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #85159 ← → #85193

Radix Representation

Decimal	85176
Binary	10100110010111000 (17 bits)
Octal	0o246270
Hexadecimal	0x14CB8

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1,014 1,092 1,183 1,352 1,521 1,638 2,028 2,184 2,366 3,042 3,276 3,549 4,056

Collatz Trajectory (58 steps to reach 1)

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

85,176 42,588 21,294 10,647 31,942 15,971 47,914 23,957 71,872 35,936 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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