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Math Directory

666,117

33 × 24671
Deficient Odd Composite

666,117 factors as 3^3 × 24671. Its 8 positive divisors give a proper-divisor sum of 320,763, so this integer is deficient. The Collatz stopping time is 185 steps.

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Prime Factor Structure

Factorization String 3^3 × 24671
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 986,880
Proper Divisor Sum 320,763
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #666109 ← → #666119

Radix Representation

Decimal 666117
Binary 10100010101000000101 (20 bits)
Octal 0o2425005
Hexadecimal 0xA2A05

Divisor Catalog (5 of 8)

1 3 9 27 24,671

Collatz Trajectory (185 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.

666,117 1,998,352 999,176 499,588 249,794

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