2⁶ × 3 × 5³ × 11

Prime Factor Structure

Factorization String 2^6 × 3 × 5^3 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 950,976

Proper Divisor Sum 686,976

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #263983 ← → #264007

Radix Representation

Decimal	264000
Binary	1000000011101000000 (19 bits)
Octal	0o1003500
Hexadecimal	0x40740

Divisor Catalog (60 of 112)

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 96 100 110 120 125 132 150 160 165 176 192 200 220 240 250 264 275 300 320 330 352 375 400 440 480 500 528 550 600 660

Collatz Trajectory (44 steps to reach 1)

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

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 #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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