2⁷ × 3⁵ × 13

Prime Factor Structure

Factorization String 2^7 × 3^5 × 13

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,299,480

Proper Divisor Sum 895,128

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #404323 ← → #404357

Radix Representation

Decimal	404352
Binary	1100010101110000000 (19 bits)
Octal	0o1425600
Hexadecimal	0x62B80

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 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 243 288 312 324 351 384 416 432 468 486 576 624 648 702 832 864 936 972 1,053 1,152 1,248 1,296 1,404 1,664

Collatz Trajectory (130 steps to reach 1)

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

404,352 202,176 101,088 50,544 25,272 12,636 6,318 3,159 9,478 4,739 14,218 7,109 21,328 10,664 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

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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