2⁵ × 3 × 5² × 41 × 83

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 41 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 27,560,736

Proper Divisor Sum 19,393,536

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8167199 ← → #8167213

Radix Representation

Decimal	8167200
Binary	11111001001111100100000 (23 bits)
Octal	0o37117440
Hexadecimal	0x7C9F20

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 75 80 82 83 96 100 120 123 150 160 164 166 200 205 240 246 249 300 328 332 400 410 415 480 492 498 600 615 656 664 800 820 830 984 996 1,025 1,200 1,230 1,245

Collatz Trajectory (155 steps to reach 1)

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

8,167,200 4,083,600 2,041,800 1,020,900 510,450 255,225 765,676 382,838 191,419 574,258 287,129 861,388 430,694 215,347 646,042 323,021 969,064 484,532 242,266 121,133 363,400 181,700 90,850 45,425 136,276 68,138 34,069 102,208 51,104 25,552 12,776 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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