2⁴ × 3³ × 13 × 71

Prime Factor Structure

Factorization String 2^4 × 3^3 × 13 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,249,920

Proper Divisor Sum 851,184

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #398731 ← → #398759

Radix Representation

Decimal	398736
Binary	1100001010110010000 (19 bits)
Octal	0o1412620
Hexadecimal	0x61590

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 71 72 78 104 108 117 142 144 156 208 213 216 234 284 312 351 426 432 468 568 624 639 702 852 923 936 1,136 1,278 1,404 1,704 1,846 1,872 1,917 2,556 2,769 2,808 3,408 3,692 3,834 5,112 5,538

Collatz Trajectory (192 steps to reach 1)

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

398,736 199,368 99,684 49,842 24,921 74,764 37,382 18,691 56,074 28,037 84,112 42,056 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336 182,168 91,084

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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