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Math Directory

8,533,167

3 × 17 × 167317
Deficient Odd Composite

8,533,167 factors as 3 × 17 × 167317. Its 8 positive divisors give a proper-divisor sum of 3,513,729, so this integer is deficient. The Collatz stopping time is 199 steps.

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Prime Factor Structure

Factorization String 3 × 17 × 167317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,046,896
Proper Divisor Sum 3,513,729
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8533141 ← → #8533169

Radix Representation

Decimal 8533167
Binary 100000100011010010101111 (24 bits)
Octal 0o40432257
Hexadecimal 0x8234AF

Divisor Catalog (5 of 8)

1 3 17 51 167,317

Collatz Trajectory (199 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.

8,533,167 25,599,502 12,799,751 38,399,254 19,199,627

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