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Math Directory

109,994

2 × 43 × 1279
Deficient Even Composite

109,994 factors as 2 × 43 × 1279. Its 8 positive divisors give a proper-divisor sum of 58,966, so this integer is deficient. The Collatz stopping time is 154 steps.

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Prime Factor Structure

Factorization String 2 × 43 × 1279
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 168,960
Proper Divisor Sum 58,966
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #109987 ← → #110017

Radix Representation

Decimal 109994
Binary 11010110110101010 (17 bits)
Octal 0o326652
Hexadecimal 0x1ADAA

Divisor Catalog (5 of 8)

1 2 43 86 1,279

Collatz Trajectory (154 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.

109,994 54,997 164,992 82,496 41,248

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