2³ × 3⁴ × 13 × 47

Prime Factor Structure

Factorization String 2^3 × 3^4 × 13 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,219,680

Proper Divisor Sum 823,752

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #395921 ← → #395953

Radix Representation

Decimal	395928
Binary	1100000101010011000 (19 bits)
Octal	0o1405230
Hexadecimal	0x60A98

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 47 52 54 72 78 81 94 104 108 117 141 156 162 188 216 234 282 312 324 351 376 423 468 564 611 648 702 846 936 1,053 1,128 1,222 1,269 1,404 1,692 1,833 2,106 2,444 2,538 2,808 3,384 3,666 3,807 4,212 4,888

Collatz Trajectory (148 steps to reach 1)

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

395,928 197,964 98,982 49,491 148,474 74,237 222,712 111,356 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878 140,939 422,818 211,409 634,228 317,114 158,557 475,672 237,836 118,918 59,459 178,378 89,189 267,568 133,784 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070

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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