λ
Math Directory

830,322

2 × 32 × 163 × 283
Abundant Even Composite

830,322 factors as 2 × 3^2 × 163 × 283. Its 24 positive divisors give a proper-divisor sum of 986,142, so this integer is abundant. The Collatz stopping time is 175 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 163 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,816,464
Proper Divisor Sum 986,142
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #830311 ← → #830327

Radix Representation

Decimal 830322
Binary 11001010101101110010 (20 bits)
Octal 0o3125562
Hexadecimal 0xCAB72

Divisor Catalog (5 of 24)

1 2 3 6 9

Collatz Trajectory (175 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

830,322 415,161 1,245,484 622,742 311,371

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