2³ × 3² × 11 × 23 × 29

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 23 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,684,800

Proper Divisor Sum 1,156,536

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #528263 ← → #528289

Radix Representation

Decimal	528264
Binary	10000000111110001000 (20 bits)
Octal	0o2007610
Hexadecimal	0x80F88

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 18 22 23 24 29 33 36 44 46 58 66 69 72 87 88 92 99 116 132 138 174 184 198 207 232 253 261 264 276 319 348 396 414 506 522 552 638 667 696 759 792 828 957 1,012 1,044 1,276 1,334 1,518 1,656 1,914 2,001

Collatz Trajectory (45 steps to reach 1)

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

528,264 264,132 132,066 66,033 198,100 99,050 49,525 148,576 74,288 37,144 18,572 9,286 4,643 13,930 6,965 20,896 10,448 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 #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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