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Math Directory

856,605

3 × 5 × 57107
Deficient Odd Composite

856,605 factors as 3 × 5 × 57107. Its 8 positive divisors give a proper-divisor sum of 513,987, so this integer is deficient. The Collatz stopping time is 100 steps.

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Prime Factor Structure

Factorization String 3 × 5 × 57107
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,370,592
Proper Divisor Sum 513,987
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #856571 ← → #856627

Radix Representation

Decimal 856605
Binary 11010001001000011101 (20 bits)
Octal 0o3211035
Hexadecimal 0xD121D

Divisor Catalog (5 of 8)

1 3 5 15 57,107

Collatz Trajectory (100 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.

856,605 2,569,816 1,284,908 642,454 321,227

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