λ
Match Zalai

8,431,000

23 × 53 × 8431
Abundant Even Composite

8,431,000 factors as 2^3 × 5^3 × 8431. Its 32 positive divisors give a proper-divisor sum of 11,299,880, so this integer is abundant. The Collatz stopping time is 155 steps.

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Prime Factor Structure

Factorization String 2^3 × 5^3 × 8431
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,730,880
Proper Divisor Sum 11,299,880
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #8430941 ← → #8431013

Radix Representation

Decimal 8431000
Binary 100000001010010110011000 (24 bits)
Octal 0o40122630
Hexadecimal 0x80A598

Divisor Catalog (5 of 32)

1 2 4 5 8

Collatz Trajectory (155 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.

8,431,000 4,215,500 2,107,750 1,053,875 3,161,626

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