2⁵ × 3² × 5³

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 127,764

Proper Divisor Sum 91,764

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #35999 ← → #36007

Radix Representation

Decimal	36000
Binary	1000110010100000 (16 bits)
Octal	0o106240
Hexadecimal	0x8CA0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1,000 1,125 1,200 1,440 1,500 1,800 2,000

Collatz Trajectory (49 steps to reach 1)

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

36,000 18,000 9,000 4,500 2,250 1,125 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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