λ
Matchaa Zalai

6,946,812

22 × 32 × 17 × 11351
Abundant Even Composite

6,946,812 factors as 2^2 × 3^2 × 17 × 11351. Its 36 positive divisors give a proper-divisor sum of 11,647,764, so this integer is abundant. The Collatz stopping time is 315 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 11351
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,594,576
Proper Divisor Sum 11,647,764
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6946789 ← → #6946813

Radix Representation

Decimal 6946812
Binary 11010011111111111111100 (23 bits)
Octal 0o32377774
Hexadecimal 0x69FFFC

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (315 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.

6,946,812 3,473,406 1,736,703 5,210,110 2,605,055

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