2⁴ × 3² × 5 × 17 × 47

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 17 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 2,089,152

Proper Divisor Sum 1,513,872

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #575261 ← → #575303

Radix Representation

Decimal	575280
Binary	10001100011100110000 (20 bits)
Octal	0o2143460
Hexadecimal	0x8C730

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 47 48 51 60 68 72 80 85 90 94 102 120 136 141 144 153 170 180 188 204 235 240 255 272 282 306 340 360 376 408 423 470 510 564 612 680 705 720 752

Collatz Trajectory (53 steps to reach 1)

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

575,280 287,640 143,820 71,910 35,955 107,866 53,933 161,800 80,900 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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