λ
Ratio Atlas

12,309,096

23 × 3 × 401 × 1279
Abundant Even Composite

12,309,096 factors as 2^3 × 3 × 401 × 1279. Its 32 positive divisors give a proper-divisor sum of 18,564,504, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 401 × 1279
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,873,600
Proper Divisor Sum 18,564,504
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #12309083 ← → #12309097

Radix Representation

Decimal 12309096
Binary 101110111101001001101000 (24 bits)
Octal 0o56751150
Hexadecimal 0xBBD268

Divisor Catalog (32)

Collatz Trajectory (78 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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