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Math Directory

398,919

3 × 103 × 1291
Deficient Odd Composite

398,919 factors as 3 × 103 × 1291. Its 8 positive divisors give a proper-divisor sum of 138,553, so this integer is deficient. The Collatz stopping time is 161 steps.

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Prime Factor Structure

Factorization String 3 × 103 × 1291
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 537,472
Proper Divisor Sum 138,553
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #398917 ← → #398921

Radix Representation

Decimal 398919
Binary 1100001011001000111 (19 bits)
Octal 0o1413107
Hexadecimal 0x61647

Divisor Catalog (5 of 8)

1 3 103 309 1,291

Collatz Trajectory (161 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.

398,919 1,196,758 598,379 1,795,138 897,569

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