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Math Directory

9,734,715

33 × 5 × 72109
Deficient Odd Composite

9,734,715 factors as 3^3 × 5 × 72109. Its 16 positive divisors give a proper-divisor sum of 7,571,685, so this integer is deficient. The Collatz stopping time is 176 steps.

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Prime Factor Structure

Factorization String 3^3 × 5 × 72109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,306,400
Proper Divisor Sum 7,571,685
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9734653 ← → #9734719

Radix Representation

Decimal 9734715
Binary 100101001000101000111011 (24 bits)
Octal 0o45105073
Hexadecimal 0x948A3B

Divisor Catalog (5 of 16)

1 3 5 9 15

Collatz Trajectory (176 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.

9,734,715 29,204,146 14,602,073 43,806,220 21,903,110

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