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Math Directory

7,859,176

23 × 132 × 5813
Abundant Even Composite

7,859,176 factors as 2^3 × 13^2 × 5813. Its 24 positive divisors give a proper-divisor sum of 8,100,254, so this integer is abundant. The Collatz stopping time is 67 steps.

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Prime Factor Structure

Factorization String 2^3 × 13^2 × 5813
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,959,430
Proper Divisor Sum 8,100,254
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7859171 ← → #7859191

Radix Representation

Decimal 7859176
Binary 11101111110101111101000 (23 bits)
Octal 0o35765750
Hexadecimal 0x77EBE8

Divisor Catalog (5 of 24)

1 2 4 8 13

Collatz Trajectory (67 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.

7,859,176 3,929,588 1,964,794 982,397 2,947,192

More profiles

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