2 × 3² × 7 × 127

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 39,936

Proper Divisor Sum 23,934

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #16001 ← → #16007

Radix Representation

Decimal	16002
Binary	11111010000010 (14 bits)
Octal	0o37202
Hexadecimal	0x3E82

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1,143 1,778 2,286 2,667 5,334 8,001 16,002

Collatz Trajectory (53 steps to reach 1)

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

16,002 8,001 24,004 12,002 6,001 18,004 9,002 4,501 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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 #6,573,969 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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