2³ × 3³ × 11 × 13

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 100,800

Proper Divisor Sum 69,912

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #30881 ← → #30893

Radix Representation

Decimal	30888
Binary	111100010101000 (15 bits)
Octal	0o74250
Hexadecimal	0x78A8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1,144 1,188 1,287 1,404 1,716 2,376 2,574 2,808 3,432 3,861 5,148

Collatz Trajectory (28 steps to reach 1)

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

30,888 15,444 7,722 3,861 11,584 5,792 2,896 1,448 724 362 181 544 272 136 68 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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