λ
Matchaa Zalai

558,333

34 × 61 × 113
Deficient Odd Composite

558,333 factors as 3^4 × 61 × 113. Its 20 positive divisors give a proper-divisor sum of 296,895, so this integer is deficient. The Collatz stopping time is 177 steps.

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Prime Factor Structure

Factorization String 3^4 × 61 × 113
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 855,228
Proper Divisor Sum 296,895
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #558319 ← → #558343

Radix Representation

Decimal 558333
Binary 10001000010011111101 (20 bits)
Octal 0o2102375
Hexadecimal 0x884FD

Divisor Catalog (5 of 20)

1 3 9 27 61

Collatz Trajectory (177 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.

558,333 1,675,000 837,500 418,750 209,375

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