λ
Ratio Atlas
72,688
24 × 7 × 11 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 178,560
Proper Divisor Sum 105,872
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #72679 ← → #72689

Radix Representation

Decimal 72688
Binary 10001101111110000 (17 bits)
Octal 0o215760
Hexadecimal 0x11BF0

Divisor Catalog (40)

Collatz Trajectory (187 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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