2⁸ × 7 × 17

Prime Factor Structure

Factorization String 2^8 × 7 × 17

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 73,584

Proper Divisor Sum 43,120

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #30449 ← → #30467

Radix Representation

Decimal	30464
Binary	111011100000000 (15 bits)
Octal	0o73400
Hexadecimal	0x7700

Divisor Catalog (36)

1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1,088 1,792 1,904 2,176 3,808 4,352 7,616 15,232 30,464

Collatz Trajectory (41 steps to reach 1)

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

30,464 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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 #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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