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Math Directory

853,635

3 × 5 × 56909
Deficient Odd Composite

853,635 factors as 3 × 5 × 56909. Its 8 positive divisors give a proper-divisor sum of 512,205, so this integer is deficient. The Collatz stopping time is 74 steps.

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Prime Factor Structure

Factorization String 3 × 5 × 56909
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,365,840
Proper Divisor Sum 512,205
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #853597 ← → #853637

Radix Representation

Decimal 853635
Binary 11010000011010000011 (20 bits)
Octal 0o3203203
Hexadecimal 0xD0683

Divisor Catalog (5 of 8)

1 3 5 15 56,909

Collatz Trajectory (74 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.

853,635 2,560,906 1,280,453 3,841,360 1,920,680

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