2⁶ × 11 × 43

Prime Factor Structure

Factorization String 2^6 × 11 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 67,056

Proper Divisor Sum 36,784

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #30271 ← → #30293

Radix Representation

Decimal	30272
Binary	111011001000000 (15 bits)
Octal	0o73100
Hexadecimal	0x7640

Divisor Catalog (28)

1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1,376 1,892 2,752 3,784 7,568 15,136 30,272

Collatz Trajectory (41 steps to reach 1)

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

30,272 15,136 7,568 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 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 #6,573,969 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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