λ
Ratio Atlas
729,414
2 × 32 × 72 × 827
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,840,644
Proper Divisor Sum 1,111,230
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #729413 ← → #729451

Radix Representation

Decimal 729414
Binary 10110010000101000110 (20 bits)
Octal 0o2620506
Hexadecimal 0xB2146

Divisor Catalog (36)

Collatz Trajectory (136 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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