λ
Matchaa Zalai

3,825,648

24 × 32 × 31 × 857
Abundant Even Composite

3,825,648 factors as 2^4 × 3^2 × 31 × 857. Its 60 positive divisors give a proper-divisor sum of 7,239,120, so this integer is abundant. The Collatz stopping time is 185 steps.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 31 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 11,064,768
Proper Divisor Sum 7,239,120
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3825643 ← → #3825649

Radix Representation

Decimal 3825648
Binary 1110100101111111110000 (22 bits)
Octal 0o16457760
Hexadecimal 0x3A5FF0

Divisor Catalog (5 of 60)

1 2 3 4 6

Collatz Trajectory (185 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.

3,825,648 1,912,824 956,412 478,206 239,103

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