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Math Directory

110,284

22 × 79 × 349
Deficient Even Composite

110,284 factors as 2^2 × 79 × 349. Its 12 positive divisors give a proper-divisor sum of 85,716, so this integer is deficient. The Collatz stopping time is 61 steps.

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Prime Factor Structure

Factorization String 2^2 × 79 × 349
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 196,000
Proper Divisor Sum 85,716
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #110281 ← → #110291

Radix Representation

Decimal 110284
Binary 11010111011001100 (17 bits)
Octal 0o327314
Hexadecimal 0x1AECC

Divisor Catalog (5 of 12)

1 2 4 79 158

Collatz Trajectory (61 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.

110,284 55,142 27,571 82,714 41,357

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