λ
Ratio Atlas

689,338

2 × 13 × 26513
Deficient Even Composite

689,338 factors as 2 × 13 × 26513. Its 8 positive divisors give a proper-divisor sum of 424,250, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 13 × 26513
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,113,588
Proper Divisor Sum 424,250
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #689321 ← → #689341

Radix Representation

Decimal 689338
Binary 10101000010010111010 (20 bits)
Octal 0o2502272
Hexadecimal 0xA84BA

Divisor Catalog (8)

Collatz Trajectory (123 steps to reach 1)

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

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