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Math Directory

3,000,397

31 × 96787
Deficient Odd Composite

3,000,397 factors as 31 × 96787. Its 4 positive divisors give a proper-divisor sum of 96,819, so this integer is deficient. The Collatz stopping time is 120 steps.

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Prime Factor Structure

Factorization String 31 × 96787
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,097,216
Proper Divisor Sum 96,819
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3000379 ← → #3000409

Radix Representation

Decimal 3000397
Binary 1011011100100001001101 (22 bits)
Octal 0o13344115
Hexadecimal 0x2DC84D

Divisor Catalog (4)

1 31 96,787 3,000,397

Collatz Trajectory (120 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.

3,000,397 9,001,192 4,500,596 2,250,298 1,125,149

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