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Math Directory

3,969,023

31 × 128033
Deficient Odd Composite

3,969,023 factors as 31 × 128033. Its 4 positive divisors give a proper-divisor sum of 128,065, so this integer is deficient. The Collatz stopping time is 216 steps.

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Prime Factor Structure

Factorization String 31 × 128033
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,097,088
Proper Divisor Sum 128,065
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3969019 ← → #3969037

Radix Representation

Decimal 3969023
Binary 1111001000111111111111 (22 bits)
Octal 0o17107777
Hexadecimal 0x3C8FFF

Divisor Catalog (4)

1 31 128,033 3,969,023

Collatz Trajectory (216 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.

3,969,023 11,907,070 5,953,535 17,860,606 8,930,303

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