2⁴ × 3² × 5² × 37

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 474,734

Proper Divisor Sum 341,534

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #133187 ← → #133201

Radix Representation

Decimal	133200
Binary	100000100001010000 (18 bits)
Octal	0o404120
Hexadecimal	0x20850

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 37 40 45 48 50 60 72 74 75 80 90 100 111 120 144 148 150 180 185 200 222 225 240 296 300 333 360 370 400 444 450 555 592 600 666 720 740 888 900 925 1,110 1,200

Collatz Trajectory (69 steps to reach 1)

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

133,200 66,600 33,300 16,650 8,325 24,976 12,488 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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