λ
Matchaa Zalai

6,000,258

2 × 3 × 11 × 229 × 397
Abundant Even Composite

6,000,258 factors as 2 × 3 × 11 × 229 × 397. Its 32 positive divisors give a proper-divisor sum of 7,181,502, so this integer is abundant. The Collatz stopping time is 152 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 11 × 229 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,181,760
Proper Divisor Sum 7,181,502
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6000233 ← → #6000271

Radix Representation

Decimal 6000258
Binary 10110111000111010000010 (23 bits)
Octal 0o26707202
Hexadecimal 0x5B8E82

Divisor Catalog (5 of 32)

1 2 3 6 11

Collatz Trajectory (152 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.

6,000,258 3,000,129 9,000,388 4,500,194 2,250,097

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