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Math Directory

98,105

5 × 7 × 2803
Deficient Odd Composite

98,105 factors as 5 × 7 × 2803. Its 8 positive divisors give a proper-divisor sum of 36,487, so this integer is deficient. The Collatz stopping time is 66 steps.

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Prime Factor Structure

Factorization String 5 × 7 × 2803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 134,592
Proper Divisor Sum 36,487
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #98101 ← → #98123

Radix Representation

Decimal 98105
Binary 10111111100111001 (17 bits)
Octal 0o277471
Hexadecimal 0x17F39

Divisor Catalog (5 of 8)

1 5 7 35 2,803

Collatz Trajectory (66 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.

98,105 294,316 147,158 73,579 220,738

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