2⁵ × 3 × 5 × 47

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 72,576

Proper Divisor Sum 50,016

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #22549 ← → #22567

Radix Representation

Decimal	22560
Binary	101100000100000 (15 bits)
Octal	0o54040
Hexadecimal	0x5820

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1,128 1,410 1,504 1,880 2,256 2,820 3,760 4,512 5,640 7,520 11,280 22,560

Collatz Trajectory (38 steps to reach 1)

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

22,560 11,280 5,640 2,820 1,410 705 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 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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