λ
Math Directory

6,756,468

22 × 3 × 563039
Abundant Even Composite

6,756,468 factors as 2^2 × 3 × 563039. Its 12 positive divisors give a proper-divisor sum of 9,008,652, so this integer is abundant. The Collatz stopping time is 85 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 563039
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,765,120
Proper Divisor Sum 9,008,652
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6756439 ← → #6756469

Radix Representation

Decimal 6756468
Binary 11001110001100001110100 (23 bits)
Octal 0o31614164
Hexadecimal 0x671874

Divisor Catalog (5 of 12)

1 2 3 4 6

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.

6,756,468 3,378,234 1,689,117 5,067,352 2,533,676

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