2⁷ × 3 × 5³ × 11

Prime Factor Structure

Factorization String 2^7 × 3 × 5^3 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 1,909,440

Proper Divisor Sum 1,381,440

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #527993 ← → #528001

Radix Representation

Decimal	528000
Binary	10000000111010000000 (20 bits)
Octal	0o2007200
Hexadecimal	0x80E80

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 125 128 132 150 160 165 176 192 200 220 240 250 264 275 300 320 330 352 375 384 400 440 480 500 528 550

Collatz Trajectory (45 steps to reach 1)

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

528,000 264,000 132,000 66,000 33,000 16,500 8,250 4,125 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 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 #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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