λ
Ratio Atlas

12,125,664

25 × 32 × 71 × 593
Abundant Even Composite

12,125,664 factors as 2^5 × 3^2 × 71 × 593. Its 72 positive divisors give a proper-divisor sum of 22,901,328, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 71 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 35,026,992
Proper Divisor Sum 22,901,328
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12125657 ← → #12125689

Radix Representation

Decimal 12125664
Binary 101110010000010111100000 (24 bits)
Octal 0o56202740
Hexadecimal 0xB905E0

Divisor Catalog (60 of 72)

Collatz Trajectory (220 steps to reach 1)

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

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