2⁴ × 5³ × 11

Prime Factor Structure

Factorization String 2^4 × 5^3 × 11

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 58,032

Proper Divisor Sum 36,032

Digit Sum / Digital Root 4 (Root: 4)

Adjacent Primes #21997 ← → #22003

Radix Representation

Decimal	22000
Binary	101010111110000 (15 bits)
Octal	0o52760
Hexadecimal	0x55F0

Divisor Catalog (40)

1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1,000 1,100 1,375 2,000 2,200 2,750 4,400 5,500 11,000 22,000

Collatz Trajectory (43 steps to reach 1)

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

22,000 11,000 5,500 2,750 1,375 4,126 2,063 6,190 3,095 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 #6,573,969 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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