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Math Directory

3,807,739

132 × 22531
Deficient Odd Composite

3,807,739 factors as 13^2 × 22531. Its 6 positive divisors give a proper-divisor sum of 315,617, so this integer is deficient. The Collatz stopping time is 79 steps.

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Prime Factor Structure

Factorization String 13^2 × 22531
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,123,356
Proper Divisor Sum 315,617
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3807737 ← → #3807743

Radix Representation

Decimal 3807739
Binary 1110100001100111111011 (22 bits)
Octal 0o16414773
Hexadecimal 0x3A19FB

Divisor Catalog (5 of 6)

1 13 169 22,531 292,903

Collatz Trajectory (79 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.

3,807,739 11,423,218 5,711,609 17,134,828 8,567,414

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