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Math Directory

3,285,408

25 × 3 × 7 × 4889
Abundant Even Composite

3,285,408 factors as 2^5 × 3 × 7 × 4889. Its 48 positive divisors give a proper-divisor sum of 6,572,832, so this integer is abundant. The Collatz stopping time is 58 steps.

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Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 4889
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,858,240
Proper Divisor Sum 6,572,832
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3285407 ← → #3285419

Radix Representation

Decimal 3285408
Binary 1100100010000110100000 (22 bits)
Octal 0o14420640
Hexadecimal 0x3221A0

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (58 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.

3,285,408 1,642,704 821,352 410,676 205,338

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