2⁴ × 3 × 23 × 29

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 89,280

Proper Divisor Sum 57,264

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #32009 ← → #32027

Radix Representation

Decimal	32016
Binary	111110100010000 (15 bits)
Octal	0o76420
Hexadecimal	0x7D10

Divisor Catalog (40)

1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 667 696 1,104 1,334 1,392 2,001 2,668 4,002 5,336 8,004 10,672 16,008 32,016

Collatz Trajectory (54 steps to reach 1)

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

32,016 16,008 8,004 4,002 2,001 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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