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Math Directory

9,549,738

2 × 34 × 11 × 23 × 233
Abundant Even Composite

9,549,738 factors as 2 × 3^4 × 11 × 23 × 233. Its 80 positive divisors give a proper-divisor sum of 14,913,558, so this integer is abundant. The Collatz stopping time is 101 steps.

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Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 23 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 24,463,296
Proper Divisor Sum 14,913,558
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9549721 ← → #9549739

Radix Representation

Decimal 9549738
Binary 100100011011011110101010 (24 bits)
Octal 0o44333652
Hexadecimal 0x91B7AA

Divisor Catalog (5 of 80)

1 2 3 6 9

Collatz Trajectory (101 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.

9,549,738 4,774,869 14,324,608 7,162,304 3,581,152

More profiles

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