2⁴ × 3³ × 41

Prime Factor Structure

Factorization String 2^4 × 3^3 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 52,080

Proper Divisor Sum 34,368

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #17707 ← → #17713

Radix Representation

Decimal	17712
Binary	100010100110000 (15 bits)
Octal	0o42460
Hexadecimal	0x4530

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1,107 1,476 1,968 2,214 2,952 4,428 5,904 8,856 17,712

Collatz Trajectory (141 steps to reach 1)

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

17,712 8,856 4,428 2,214 1,107 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700

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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