λ
Ratio Atlas
27,342
2 × 32 × 72 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 71,136
Proper Divisor Sum 43,794
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #27337 ← → #27361

Radix Representation

Decimal 27342
Binary 110101011001110 (15 bits)
Octal 0o65316
Hexadecimal 0x6ACE

Divisor Catalog (36)

Collatz Trajectory (121 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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