λ
Match Zalai

6,781,138

2 × 7 × 13 × 19 × 37 × 53
Abundant Even Composite

6,781,138 factors as 2 × 7 × 13 × 19 × 37 × 53. Its 64 positive divisors give a proper-divisor sum of 7,008,302, so this integer is abundant. The Collatz stopping time is 85 steps.

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Prime Factor Structure

Factorization String 2 × 7 × 13 × 19 × 37 × 53
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,789,440
Proper Divisor Sum 7,008,302
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6781133 ← → #6781141

Radix Representation

Decimal 6781138
Binary 11001110111100011010010 (23 bits)
Octal 0o31674322
Hexadecimal 0x6778D2

Divisor Catalog (5 of 64)

1 2 7 13 14

Collatz Trajectory (85 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.

6,781,138 3,390,569 10,171,708 5,085,854 2,542,927

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