λ
Ratio Atlas
9,728,256
28 × 3 × 53 × 239
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3 × 53 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,490,240
Proper Divisor Sum 16,761,984
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9728249 ← → #9728261

Radix Representation

Decimal 9728256
Binary 100101000111000100000000 (24 bits)
Octal 0o45070400
Hexadecimal 0x947100

Divisor Catalog (60 of 72)

Collatz Trajectory (88 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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