2³ × 3² × 5² × 17²

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 1,855,815

Proper Divisor Sum 1,335,615

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #520193 ← → #520213

Radix Representation

Decimal	520200
Binary	1111111000000001000 (19 bits)
Octal	0o1770010
Hexadecimal	0x7F008

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 289 300 306 340 360 408 425 450 510 578 600 612 680 765 850 867 900 1,020 1,156

Collatz Trajectory (164 steps to reach 1)

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

520,200 260,100 130,050 65,025 195,076 97,538 48,769 146,308 73,154 36,577 109,732 54,866 27,433 82,300 41,150 20,575 61,726 30,863 92,590 46,295 138,886 69,443 208,330 104,165 312,496 156,248 78,124 39,062 19,531 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94

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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