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Math Directory

1,105,170

2 × 3 × 5 × 11 × 17 × 197
Abundant Even Composite

1,105,170 factors as 2 × 3 × 5 × 11 × 17 × 197. Its 64 positive divisors give a proper-divisor sum of 1,974,126, so this integer is abundant. The Collatz stopping time is 72 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 17 × 197
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 3,079,296
Proper Divisor Sum 1,974,126
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1105163 ← → #1105171

Radix Representation

Decimal 1105170
Binary 100001101110100010010 (21 bits)
Octal 0o4156422
Hexadecimal 0x10DD12

Divisor Catalog (5 of 64)

1 2 3 5 6

Collatz Trajectory (72 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.

1,105,170 552,585 1,657,756 828,878 414,439

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