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Math Directory

5,972,205

3 × 5 × 612 × 107
Deficient Odd Composite

5,972,205 factors as 3 × 5 × 61^2 × 107. Its 24 positive divisors give a proper-divisor sum of 3,833,331, so this integer is deficient. The Collatz stopping time is 245 steps.

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Prime Factor Structure

Factorization String 3 × 5 × 61^2 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,805,536
Proper Divisor Sum 3,833,331
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5972147 ← → #5972209

Radix Representation

Decimal 5972205
Binary 10110110010000011101101 (23 bits)
Octal 0o26620355
Hexadecimal 0x5B20ED

Divisor Catalog (5 of 24)

1 3 5 15 61

Collatz Trajectory (245 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.

5,972,205 17,916,616 8,958,308 4,479,154 2,239,577

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