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Math Directory

9,841,975

52 × 11 × 13 × 2753
Deficient Odd Composite

9,841,975 factors as 5^2 × 11 × 13 × 2753. Its 24 positive divisors give a proper-divisor sum of 4,500,857, so this integer is deficient. The Collatz stopping time is 238 steps.

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Prime Factor Structure

Factorization String 5^2 × 11 × 13 × 2753
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,342,832
Proper Divisor Sum 4,500,857
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9841939 ← → #9841987

Radix Representation

Decimal 9841975
Binary 100101100010110100110111 (24 bits)
Octal 0o45426467
Hexadecimal 0x962D37

Divisor Catalog (5 of 24)

1 5 11 13 25

Collatz Trajectory (238 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.

9,841,975 29,525,926 14,762,963 44,288,890 22,144,445

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