2⁵ × 3 × 7 × 47

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 96,768

Proper Divisor Sum 65,184

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #31583 ← → #31601

Radix Representation

Decimal	31584
Binary	111101101100000 (15 bits)
Octal	0o75540
Hexadecimal	0x7B60

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1,128 1,316 1,504 1,974 2,256 2,632 3,948 4,512 5,264 7,896 10,528 15,792 31,584

Collatz Trajectory (41 steps to reach 1)

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

31,584 15,792 7,896 3,948 1,974 987 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 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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