λ
Ratio Atlas
29,736
23 × 32 × 7 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 93,600
Proper Divisor Sum 63,864
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #29723 ← → #29741

Radix Representation

Decimal 29736
Binary 111010000101000 (15 bits)
Octal 0o72050
Hexadecimal 0x7428

Divisor Catalog (48)

Collatz Trajectory (134 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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