2⁵ × 3 × 5 × 11 × 89

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 11 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,632,960

Proper Divisor Sum 1,163,040

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #469919 ← → #469939

Radix Representation

Decimal	469920
Binary	1110010101110100000 (19 bits)
Octal	0o1625640
Hexadecimal	0x72BA0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 89 96 110 120 132 160 165 176 178 220 240 264 267 330 352 356 440 445 480 528 534 660 712 880 890 979 1,056 1,068 1,320 1,335 1,424 1,760 1,780 1,958

Collatz Trajectory (138 steps to reach 1)

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

469,920 234,960 117,480 58,740 29,370 14,685 44,056 22,028 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 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

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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