2 × 3 × 5² × 7 × 13 × 29

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 13 × 29

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,249,920

Proper Divisor Sum 854,070

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #395849 ← → #395851

Radix Representation

Decimal	395850
Binary	1100000101001001010 (19 bits)
Octal	0o1405112
Hexadecimal	0x60A4A

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 13 14 15 21 25 26 29 30 35 39 42 50 58 65 70 75 78 87 91 105 130 145 150 174 175 182 195 203 210 273 290 325 350 377 390 406 435 455 525 546 609 650 725 754 870 910 975 1,015 1,050 1,131 1,218 1,365 1,450

Collatz Trajectory (99 steps to reach 1)

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

395,850 197,925 593,776 296,888 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512

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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