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Math Directory

117,340

22 × 5 × 5867
Abundant Even Composite

117,340 factors as 2^2 × 5 × 5867. Its 12 positive divisors give a proper-divisor sum of 129,116, so this integer is abundant. The Collatz stopping time is 48 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 5867
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 246,456
Proper Divisor Sum 129,116
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #117331 ← → #117353

Radix Representation

Decimal 117340
Binary 11100101001011100 (17 bits)
Octal 0o345134
Hexadecimal 0x1CA5C

Divisor Catalog (5 of 12)

1 2 4 5 10

Collatz Trajectory (48 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.

117,340 58,670 29,335 88,006 44,003

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