λ
Match Zalai

8,643,984

24 × 3 × 101 × 1783
Abundant Even Composite

8,643,984 factors as 2^4 × 3 × 101 × 1783. Its 40 positive divisors give a proper-divisor sum of 13,920,048, so this integer is abundant. The Collatz stopping time is 119 steps.

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Prime Factor Structure

Factorization String 2^4 × 3 × 101 × 1783
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,564,032
Proper Divisor Sum 13,920,048
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8643959 ← → #8643991

Radix Representation

Decimal 8643984
Binary 100000111110010110010000 (24 bits)
Octal 0o40762620
Hexadecimal 0x83E590

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (119 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.

8,643,984 4,321,992 2,160,996 1,080,498 540,249

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