2³ × 3⁴ × 13 × 41

Prime Factor Structure

Factorization String 2^3 × 3^4 × 13 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,067,220

Proper Divisor Sum 721,836

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #345379 ← → #345413

Radix Representation

Decimal	345384
Binary	1010100010100101000 (19 bits)
Octal	0o1242450
Hexadecimal	0x54528

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 81 82 104 108 117 123 156 162 164 216 234 246 312 324 328 351 369 468 492 533 648 702 738 936 984 1,053 1,066 1,107 1,404 1,476 1,599 2,106 2,132 2,214 2,808 2,952 3,198 3,321 4,212 4,264

Collatz Trajectory (122 steps to reach 1)

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

345,384 172,692 86,346 43,173 129,520 64,760 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887

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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