2² × 3³ × 11 × 23

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 80,640

Proper Divisor Sum 53,316

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #27299 ← → #27329

Radix Representation

Decimal	27324
Binary	110101010111100 (15 bits)
Octal	0o65274
Hexadecimal	0x6ABC

Divisor Catalog (48)

1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1,012 1,188 1,242 1,518 2,277 2,484 3,036 4,554 6,831 9,108 13,662 27,324

Collatz Trajectory (46 steps to reach 1)

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

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 #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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