2³ × 3 × 5² × 7² × 11

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 7^2 × 11

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,272,240

Proper Divisor Sum 948,840

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #323383 ← → #323413

Radix Representation

Decimal	323400
Binary	1001110111101001000 (19 bits)
Octal	0o1167510
Hexadecimal	0x4EF48

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 25 28 30 33 35 40 42 44 49 50 55 56 60 66 70 75 77 84 88 98 100 105 110 120 132 140 147 150 154 165 168 175 196 200 210 220 231 245 264 275 280 294 300

Collatz Trajectory (184 steps to reach 1)

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

323,400 161,700 80,850 40,425 121,276 60,638 30,319 90,958 45,479 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071 18,214 9,107 27,322 13,661 40,984 20,492 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056

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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