2³ × 3 × 5² × 13 × 61

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 13 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,614,480

Proper Divisor Sum 1,138,680

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #475793 ← → #475807

Radix Representation

Decimal	475800
Binary	1110100001010011000 (19 bits)
Octal	0o1641230
Hexadecimal	0x74298

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 61 65 75 78 100 104 120 122 130 150 156 183 195 200 244 260 300 305 312 325 366 390 488 520 600 610 650 732 780 793 915 975 1,220 1,300 1,464 1,525 1,560 1,586 1,830

Collatz Trajectory (169 steps to reach 1)

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

475,800 237,900 118,950 59,475 178,426 89,213 267,640 133,820 66,910 33,455 100,366 50,183 150,550 75,275 225,826 112,913 338,740 169,370 84,685 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506

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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