λ
Match Zalai

396,288

210 × 32 × 43
Abundant Even Composite

396,288 factors as 2^10 × 3^2 × 43. Its 66 positive divisors give a proper-divisor sum of 774,596, so this integer is abundant. The Collatz stopping time is 130 steps.

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Prime Factor Structure

Factorization String 2^10 × 3^2 × 43
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 66
Divisor Sum (σ) 1,170,884
Proper Divisor Sum 774,596
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #396269 ← → #396293

Radix Representation

Decimal 396288
Binary 1100000110000000000 (19 bits)
Octal 0o1406000
Hexadecimal 0x60C00

Divisor Catalog (5 of 66)

1 2 3 4 6

Collatz Trajectory (130 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.

396,288 198,144 99,072 49,536 24,768

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