2² × 3³ × 5 × 13 × 61

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 13 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,458,240

Proper Divisor Sum 1,030,020

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #428177 ← → #428221

Radix Representation

Decimal	428220
Binary	1101000100010111100 (19 bits)
Octal	0o1504274
Hexadecimal	0x688BC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 61 65 78 90 108 117 122 130 135 156 180 183 195 234 244 260 270 305 351 366 390 468 540 549 585 610 702 732 780 793 915 1,098 1,170 1,220 1,404 1,586 1,647 1,755

Collatz Trajectory (112 steps to reach 1)

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

428,220 214,110 107,055 321,166 160,583 481,750 240,875 722,626 361,313 1,083,940 541,970 270,985 812,956 406,478 203,239 609,718 304,859 914,578 457,289 1,371,868 685,934 342,967 1,028,902 514,451 1,543,354 771,677 2,315,032 1,157,516 578,758 289,379 868,138 434,069 1,302,208 651,104 325,552 162,776 81,388 40,694 20,347 61,042 30,521 91,564 45,782 22,891 68,674 34,337 103,012 51,506 25,753 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298

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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