2⁴ × 3 × 5² × 23 × 29

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 23 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 2,767,680

Proper Divisor Sum 1,967,280

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #800399 ← → #800407

Radix Representation

Decimal	800400
Binary	11000011011010010000 (20 bits)
Octal	0o3033220
Hexadecimal	0xC3690

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 29 30 40 46 48 50 58 60 69 75 80 87 92 100 115 116 120 138 145 150 174 184 200 230 232 240 276 290 300 345 348 368 400 435 460 464 552 575 580 600 667 690 696 725 870

Collatz Trajectory (237 steps to reach 1)

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

800,400 400,200 200,100 100,050 50,025 150,076 75,038 37,519 112,558 56,279 168,838 84,419 253,258 126,629 379,888 189,944 94,972 47,486 23,743 71,230 35,615 106,846 53,423 160,270 80,135 240,406 120,203 360,610 180,305 540,916 270,458 135,229 405,688 202,844 101,422 50,711 152,134 76,067 228,202 114,101 342,304 171,152 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078

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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