λ
Ratio Atlas
688,168
23 × 132 × 509
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13^2 × 509
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,399,950
Proper Divisor Sum 711,782
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #688159 ← → #688187

Radix Representation

Decimal 688168
Binary 10101000000000101000 (20 bits)
Octal 0o2500050
Hexadecimal 0xA8028

Divisor Catalog (24)

Collatz Trajectory (79 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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