λ
Matchaa Zalai

3,304,800

25 × 35 × 52 × 17
Abundant Even Composite

3,304,800 factors as 2^5 × 3^5 × 5^2 × 17. Its 216 positive divisors give a proper-divisor sum of 9,491,256, so this integer is abundant. The Collatz stopping time is 84 steps.

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Prime Factor Structure

Factorization String 2^5 × 3^5 × 5^2 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 216
Divisor Sum (σ) 12,796,056
Proper Divisor Sum 9,491,256
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3304787 ← → #3304813

Radix Representation

Decimal 3304800
Binary 1100100110110101100000 (22 bits)
Octal 0o14466540
Hexadecimal 0x326D60

Divisor Catalog (5 of 216)

1 2 3 4 5

Collatz Trajectory (84 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.

3,304,800 1,652,400 826,200 413,100 206,550

More profiles

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