λ
Match Zalai

901,584

24 × 33 × 2087
Abundant Even Composite

901,584 factors as 2^4 × 3^3 × 2087. Its 40 positive divisors give a proper-divisor sum of 1,687,536, so this integer is abundant. The Collatz stopping time is 64 steps.

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Prime Factor Structure

Factorization String 2^4 × 3^3 × 2087
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,589,120
Proper Divisor Sum 1,687,536
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #901567 ← → #901591

Radix Representation

Decimal 901584
Binary 11011100000111010000 (20 bits)
Octal 0o3340720
Hexadecimal 0xDC1D0

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (64 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.

901,584 450,792 225,396 112,698 56,349

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