λ
Ratio Atlas

689,448

23 × 3 × 23 × 1249
Abundant Even Composite

689,448 factors as 2^3 × 3 × 23 × 1249. Its 32 positive divisors give a proper-divisor sum of 1,110,552, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 1249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,800,000
Proper Divisor Sum 1,110,552
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #689441 ← → #689459

Radix Representation

Decimal 689448
Binary 10101000010100101000 (20 bits)
Octal 0o2502450
Hexadecimal 0xA8528

Divisor Catalog (32)

Collatz Trajectory (198 steps to reach 1)

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

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