2⁶ × 3³ × 11 × 13

Prime Factor Structure

Factorization String 2^6 × 3^3 × 11 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 853,440

Proper Divisor Sum 606,336

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #247099 ← → #247141

Radix Representation

Decimal	247104
Binary	111100010101000000 (18 bits)
Octal	0o742500
Hexadecimal	0x3C540

Divisor Catalog (60 of 112)

1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 88 96 99 104 108 117 132 143 144 156 176 192 198 208 216 234 264 286 288 297 312 351 352 396 416 429 432 468 528 572 576 594

Collatz Trajectory (31 steps to reach 1)

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

247,104 123,552 61,776 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 #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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