2⁴ × 3³ × 17 × 47

Prime Factor Structure

Factorization String 2^4 × 3^3 × 17 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,071,360

Proper Divisor Sum 726,192

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #345143 ← → #345181

Radix Representation

Decimal	345168
Binary	1010100010001010000 (19 bits)
Octal	0o1242120
Hexadecimal	0x54450

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 47 48 51 54 68 72 94 102 108 136 141 144 153 188 204 216 272 282 306 376 408 423 432 459 564 612 752 799 816 846 918 1,128 1,224 1,269 1,598 1,692 1,836 2,256 2,397 2,448 2,538 3,196 3,384 3,672 4,794

Collatz Trajectory (73 steps to reach 1)

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

345,168 172,584 86,292 43,146 21,573 64,720 32,360 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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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