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Math Directory

8,565,331

17 × 31 × 16253
Deficient Odd Composite

8,565,331 factors as 17 × 31 × 16253. Its 8 positive divisors give a proper-divisor sum of 796,973, so this integer is deficient. The Collatz stopping time is 98 steps.

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Prime Factor Structure

Factorization String 17 × 31 × 16253
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,362,304
Proper Divisor Sum 796,973
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8565317 ← → #8565343

Radix Representation

Decimal 8565331
Binary 100000101011001001010011 (24 bits)
Octal 0o40531123
Hexadecimal 0x82B253

Divisor Catalog (5 of 8)

1 17 31 527 16,253

Collatz Trajectory (98 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.

8,565,331 25,695,994 12,847,997 38,543,992 19,271,996

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