λ
Ratio Atlas
688,727
13 × 31 × 1709
Deficient Odd Composite

Prime Factor Structure

Factorization String 13 × 31 × 1709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 766,080
Proper Divisor Sum 77,353
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #688717 ← → #688729

Radix Representation

Decimal 688727
Binary 10101000001001010111 (20 bits)
Octal 0o2501127
Hexadecimal 0xA8257

Divisor Catalog (8)

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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