λ
Ratio Atlas
29,772
22 × 32 × 827
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 75,348
Proper Divisor Sum 45,576
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #29761 ← → #29789

Radix Representation

Decimal 29772
Binary 111010001001100 (15 bits)
Octal 0o72114
Hexadecimal 0x744C

Divisor Catalog (18)

Collatz Trajectory (72 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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