λ
Ratio Atlas
688,152
23 × 3 × 53 × 541
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 53 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,756,080
Proper Divisor Sum 1,067,928
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #688147 ← → #688159

Radix Representation

Decimal 688152
Binary 10101000000000011000 (20 bits)
Octal 0o2500030
Hexadecimal 0xA8018

Divisor Catalog (32)

Collatz Trajectory (105 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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