λ
Ratio Atlas
19,782
2 × 32 × 7 × 157
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 49,296
Proper Divisor Sum 29,514
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #19777 ← → #19793

Radix Representation

Decimal 19782
Binary 100110101000110 (15 bits)
Octal 0o46506
Hexadecimal 0x4D46

Divisor Catalog (24)

Collatz Trajectory (123 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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