2⁵ × 3 × 11 × 17

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 54,432

Proper Divisor Sum 36,480

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #17939 ← → #17957

Radix Representation

Decimal	17952
Binary	100011000100000 (15 bits)
Octal	0o43040
Hexadecimal	0x4620

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1,056 1,122 1,496 1,632 2,244 2,992 4,488 5,984 8,976 17,952

Collatz Trajectory (48 steps to reach 1)

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

17,952 8,976 4,488 2,244 1,122 561 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 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 #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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