λ
Match Zalai

296,838

2 × 33 × 23 × 239
Abundant Even Composite

296,838 factors as 2 × 3^3 × 23 × 239. Its 32 positive divisors give a proper-divisor sum of 394,362, so this integer is abundant. The Collatz stopping time is 158 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 23 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 691,200
Proper Divisor Sum 394,362
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #296833 ← → #296843

Radix Representation

Decimal 296838
Binary 1001000011110000110 (19 bits)
Octal 0o1103606
Hexadecimal 0x48786

Divisor Catalog (5 of 32)

1 2 3 6 9

Collatz Trajectory (158 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.

296,838 148,419 445,258 222,629 667,888

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