2 × 4003

Prime Factor Structure

Factorization String 2 × 4003

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 12,012

Proper Divisor Sum 4,006

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #7993 ← → #8009

Radix Representation

Decimal	8006
Binary	1111101000110 (13 bits)
Octal	0o17506
Hexadecimal	0x1F46

Divisor Catalog (4)

1 2 4,003 8,006

Collatz Trajectory (52 steps to reach 1)

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

8,006 4,003 12,010 6,005 18,016 9,008 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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