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Math Directory

833,919

3 × 137 × 2029
Deficient Odd Composite

833,919 factors as 3 × 137 × 2029. Its 8 positive divisors give a proper-divisor sum of 286,641, so this integer is deficient. The Collatz stopping time is 175 steps.

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Prime Factor Structure

Factorization String 3 × 137 × 2029
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,120,560
Proper Divisor Sum 286,641
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #833897 ← → #833923

Radix Representation

Decimal 833919
Binary 11001011100101111111 (20 bits)
Octal 0o3134577
Hexadecimal 0xCB97F

Divisor Catalog (5 of 8)

1 3 137 411 2,029

Collatz Trajectory (175 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.

833,919 2,501,758 1,250,879 3,752,638 1,876,319

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