2⁵ × 3³ × 7 × 71

Prime Factor Structure

Factorization String 2^5 × 3^3 × 7 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,451,520

Proper Divisor Sum 1,022,112

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #429397 ← → #429409

Radix Representation

Decimal	429408
Binary	1101000110101100000 (19 bits)
Octal	0o1506540
Hexadecimal	0x68D60

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 71 72 84 96 108 112 126 142 144 168 189 213 216 224 252 284 288 336 378 426 432 497 504 568 639 672 756 852 864 994 1,008 1,136 1,278 1,491 1,512 1,704 1,917

Collatz Trajectory (125 steps to reach 1)

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

429,408 214,704 107,352 53,676 26,838 13,419 40,258 20,129 60,388 30,194 15,097 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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