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Math Directory

3,920,813

13 × 301601
Deficient Odd Composite

3,920,813 factors as 13 × 301601. Its 4 positive divisors give a proper-divisor sum of 301,615, so this integer is deficient. The Collatz stopping time is 97 steps.

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Prime Factor Structure

Factorization String 13 × 301601
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,222,428
Proper Divisor Sum 301,615
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3920797 ← → #3920843

Radix Representation

Decimal 3920813
Binary 1110111101001110101101 (22 bits)
Octal 0o16751655
Hexadecimal 0x3BD3AD

Divisor Catalog (4)

1 13 301,601 3,920,813

Collatz Trajectory (97 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.

3,920,813 11,762,440 5,881,220 2,940,610 1,470,305

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