2⁵ × 3³ × 13 × 71

Prime Factor Structure

Factorization String 2^5 × 3^3 × 13 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,540,160

Proper Divisor Sum 1,742,688

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #797429 ← → #797473

Radix Representation

Decimal	797472
Binary	11000010101100100000 (20 bits)
Octal	0o3025440
Hexadecimal	0xC2B20

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 71 72 78 96 104 108 117 142 144 156 208 213 216 234 284 288 312 351 416 426 432 468 568 624 639 702 852 864 923 936 1,136 1,248 1,278 1,404 1,704 1,846 1,872 1,917 2,272 2,556

Collatz Trajectory (193 steps to reach 1)

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

797,472 398,736 199,368 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

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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