λ
Ratio Atlas
31,500
22 × 32 × 53 × 7
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^3 × 7
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 113,568
Proper Divisor Sum 82,068
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #31489 ← → #31511

Radix Representation

Decimal 31500
Binary 111101100001100 (15 bits)
Octal 0o75414
Hexadecimal 0x7B0C

Divisor Catalog (60 of 72)

Collatz Trajectory (129 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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