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Math Directory

329,160

23 × 3 × 5 × 13 × 211
Abundant Even Composite

329,160 factors as 2^3 × 3 × 5 × 13 × 211. Its 64 positive divisors give a proper-divisor sum of 739,320, so this integer is abundant. The Collatz stopping time is 184 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 1,068,480
Proper Divisor Sum 739,320
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #329143 ← → #329167

Radix Representation

Decimal 329160
Binary 1010000010111001000 (19 bits)
Octal 0o1202710
Hexadecimal 0x505C8

Divisor Catalog (5 of 64)

1 2 3 4 5

Collatz Trajectory (184 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.

329,160 164,580 82,290 41,145 123,436

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