λ
Ratio Atlas
10,219,832
23 × 72 × 292 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7^2 × 29^2 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 23,830,560
Proper Divisor Sum 13,610,728
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10219819 ← → #10219841

Radix Representation

Decimal 10219832
Binary 100110111111000100111000 (24 bits)
Octal 0o46770470
Hexadecimal 0x9BF138

Divisor Catalog (60 of 72)

Collatz Trajectory (83 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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