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Math Directory

398,823

3 × 37 × 3593
Deficient Odd Composite

398,823 factors as 3 × 37 × 3593. Its 8 positive divisors give a proper-divisor sum of 147,465, so this integer is deficient. The Collatz stopping time is 143 steps.

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Prime Factor Structure

Factorization String 3 × 37 × 3593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 546,288
Proper Divisor Sum 147,465
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #398821 ← → #398833

Radix Representation

Decimal 398823
Binary 1100001010111100111 (19 bits)
Octal 0o1412747
Hexadecimal 0x615E7

Divisor Catalog (5 of 8)

1 3 37 111 3,593

Collatz Trajectory (143 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.

398,823 1,196,470 598,235 1,794,706 897,353

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