λ
Ratio Atlas

12,492,760

23 × 5 × 7 × 44617
Abundant Even Composite

12,492,760 factors as 2^3 × 5 × 7 × 44617. Its 32 positive divisors give a proper-divisor sum of 19,632,200, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 44617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,124,960
Proper Divisor Sum 19,632,200
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #12492743 ← → #12492787

Radix Representation

Decimal 12492760
Binary 101111101001111111011000 (24 bits)
Octal 0o57517730
Hexadecimal 0xBE9FD8

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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