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Math Directory

9,312,873

3 × 97 × 32003
Deficient Odd Composite

9,312,873 factors as 3 × 97 × 32003. Its 8 positive divisors give a proper-divisor sum of 3,232,695, so this integer is deficient. The Collatz stopping time is 256 steps.

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Prime Factor Structure

Factorization String 3 × 97 × 32003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,545,568
Proper Divisor Sum 3,232,695
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9312859 ← → #9312881

Radix Representation

Decimal 9312873
Binary 100011100001101001101001 (24 bits)
Octal 0o43415151
Hexadecimal 0x8E1A69

Divisor Catalog (5 of 8)

1 3 97 291 32,003

Collatz Trajectory (256 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.

9,312,873 27,938,620 13,969,310 6,984,655 20,953,966

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