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Math Directory

3,309,273

32 × 11 × 33427
Deficient Odd Composite

3,309,273 factors as 3^2 × 11 × 33427. Its 12 positive divisors give a proper-divisor sum of 1,905,495, so this integer is deficient. The Collatz stopping time is 177 steps.

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Prime Factor Structure

Factorization String 3^2 × 11 × 33427
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,214,768
Proper Divisor Sum 1,905,495
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3309269 ← → #3309301

Radix Representation

Decimal 3309273
Binary 1100100111111011011001 (22 bits)
Octal 0o14477331
Hexadecimal 0x327ED9

Divisor Catalog (5 of 12)

1 3 9 11 33

Collatz Trajectory (177 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.

3,309,273 9,927,820 4,963,910 2,481,955 7,445,866

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