λ
Ratio Atlas
82,200
23 × 3 × 52 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 256,680
Proper Divisor Sum 174,480
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #82193 ← → #82207

Radix Representation

Decimal 82200
Binary 10100000100011000 (17 bits)
Octal 0o240430
Hexadecimal 0x14118

Divisor Catalog (48)

Collatz Trajectory (58 steps to reach 1)

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

Active Feeder Network

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

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