2³ × 7 × 643

Prime Factor Structure

Factorization String 2^3 × 7 × 643

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 77,280

Proper Divisor Sum 41,272

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #36007 ← → #36011

Radix Representation

Decimal	36008
Binary	1000110010101000 (16 bits)
Octal	0o106250
Hexadecimal	0x8CA8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 643 1,286 2,572 4,501 5,144 9,002 18,004 36,008

Collatz Trajectory (49 steps to reach 1)

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

36,008 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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