2⁴ × 3³ × 11 × 23

Prime Factor Structure

Factorization String 2^4 × 3^3 × 11 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 357,120

Proper Divisor Sum 247,824

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #109279 ← → #109297

Radix Representation

Decimal	109296
Binary	11010101011110000 (17 bits)
Octal	0o325360
Hexadecimal	0x1AAF0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1,012 1,104 1,188 1,242 1,518 1,584 1,656 2,024

Collatz Trajectory (48 steps to reach 1)

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

109,296 54,648 27,324 13,662 6,831 20,494 10,247 30,742 15,371 46,114 23,057 69,172 34,586 17,293 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 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 #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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