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Math Directory

8,008,912

24 × 31 × 67 × 241
Abundant Even Composite

8,008,912 factors as 2^4 × 31 × 67 × 241. Its 40 positive divisors give a proper-divisor sum of 8,315,440, so this integer is abundant. The Collatz stopping time is 142 steps.

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Prime Factor Structure

Factorization String 2^4 × 31 × 67 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,324,352
Proper Divisor Sum 8,315,440
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8008907 ← → #8008933

Radix Representation

Decimal 8008912
Binary 11110100011010011010000 (23 bits)
Octal 0o36432320
Hexadecimal 0x7A34D0

Divisor Catalog (5 of 40)

1 2 4 8 16

Collatz Trajectory (142 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.

8,008,912 4,004,456 2,002,228 1,001,114 500,557

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