λ
Ratio Atlas
72,288
25 × 32 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 206,388
Proper Divisor Sum 134,100
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #72287 ← → #72307

Radix Representation

Decimal 72288
Binary 10001101001100000 (17 bits)
Octal 0o215140
Hexadecimal 0x11A60

Divisor Catalog (36)

Collatz Trajectory (42 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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