2³ × 3 × 7² × 29

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 102,600

Proper Divisor Sum 68,496

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #34061 ← → #34123

Radix Representation

Decimal	34104
Binary	1000010100111000 (16 bits)
Octal	0o102470
Hexadecimal	0x8538

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1,176 1,218 1,421 1,624 2,436 2,842 4,263 4,872 5,684 8,526 11,368 17,052 34,104

Collatz Trajectory (129 steps to reach 1)

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

34,104 17,052 8,526 4,263 12,790 6,395 19,186 9,593 28,780 14,390 7,195 21,586 10,793 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

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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