2³ × 3⁴ × 11² × 41

Prime Factor Structure

Factorization String 2^3 × 3^4 × 11^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 10,138,590

Proper Divisor Sum 6,923,862

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3214711 ← → #3214759

Radix Representation

Decimal	3214728
Binary	1100010000110110001000 (22 bits)
Octal	0o14206610
Hexadecimal	0x310D88

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 41 44 54 66 72 81 82 88 99 108 121 123 132 162 164 198 216 242 246 264 297 324 328 363 369 396 451 484 492 594 648 726 738 792 891 902 968 984 1,089 1,107 1,188 1,353 1,452 1,476 1,782

Collatz Trajectory (71 steps to reach 1)

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

3,214,728 1,607,364 803,682 401,841 1,205,524 602,762 301,381 904,144 452,072 226,036 113,018 56,509 169,528 84,764 42,382 21,191 63,574 31,787 95,362 47,681 143,044 71,522 35,761 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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