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Math Directory

85,565

5 × 109 × 157
Deficient Odd Composite

85,565 factors as 5 × 109 × 157. Its 8 positive divisors give a proper-divisor sum of 18,715, so this integer is deficient. The Collatz stopping time is 76 steps.

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Prime Factor Structure

Factorization String 5 × 109 × 157
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 104,280
Proper Divisor Sum 18,715
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #85549 ← → #85571

Radix Representation

Decimal 85565
Binary 10100111000111101 (17 bits)
Octal 0o247075
Hexadecimal 0x14E3D

Divisor Catalog (5 of 8)

1 5 109 157 545

Collatz Trajectory (76 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.

85,565 256,696 128,348 64,174 32,087

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