λ
Ratio Atlas

12,305,140

22 × 5 × 31 × 89 × 223
Abundant Even Composite

12,305,140 factors as 2^2 × 5 × 31 × 89 × 223. Its 48 positive divisors give a proper-divisor sum of 14,789,900, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 89 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,095,040
Proper Divisor Sum 14,789,900
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #12305113 ← → #12305149

Radix Representation

Decimal 12305140
Binary 101110111100001011110100 (24 bits)
Octal 0o56741364
Hexadecimal 0xBBC2F4

Divisor Catalog (48)

Collatz Trajectory (78 steps to reach 1)

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

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