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Math Directory

7,752,294

2 × 33 × 11 × 31 × 421
Abundant Even Composite

7,752,294 factors as 2 × 3^3 × 11 × 31 × 421. Its 64 positive divisors give a proper-divisor sum of 11,693,466, so this integer is abundant. The Collatz stopping time is 173 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 31 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,445,760
Proper Divisor Sum 11,693,466
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7752293 ← → #7752313

Radix Representation

Decimal 7752294
Binary 11101100100101001100110 (23 bits)
Octal 0o35445146
Hexadecimal 0x764A66

Divisor Catalog (5 of 64)

1 2 3 6 9

Collatz Trajectory (173 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.

7,752,294 3,876,147 11,628,442 5,814,221 17,442,664

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