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Math Directory

8,479,416

23 × 3 × 11 × 32119
Abundant Even Composite

8,479,416 factors as 2^3 × 3 × 11 × 32119. Its 32 positive divisors give a proper-divisor sum of 14,646,984, so this integer is abundant. The Collatz stopping time is 106 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 32119
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,126,400
Proper Divisor Sum 14,646,984
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8479403 ← → #8479477

Radix Representation

Decimal 8479416
Binary 100000010110001010111000 (24 bits)
Octal 0o40261270
Hexadecimal 0x8162B8

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (106 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.

8,479,416 4,239,708 2,119,854 1,059,927 3,179,782

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