λ
Ratio Atlas

12,829,832

23 × 17 × 29 × 3253
Abundant Even Composite

12,829,832 factors as 2^3 × 17 × 29 × 3253. Its 32 positive divisors give a proper-divisor sum of 13,527,568, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 29 × 3253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,357,400
Proper Divisor Sum 13,527,568
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #12829829 ← → #12829841

Radix Representation

Decimal 12829832
Binary 110000111100010010001000 (24 bits)
Octal 0o60742210
Hexadecimal 0xC3C488

Divisor Catalog (32)

Collatz Trajectory (73 steps to reach 1)

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

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