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Math Directory

7,910,800

24 × 52 × 19777
Abundant Even Composite

7,910,800 factors as 2^4 × 5^2 × 19777. Its 30 positive divisors give a proper-divisor sum of 11,095,858, so this integer is abundant. The Collatz stopping time is 67 steps.

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Prime Factor Structure

Factorization String 2^4 × 5^2 × 19777
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 19,006,658
Proper Divisor Sum 11,095,858
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7910789 ← → #7910801

Radix Representation

Decimal 7910800
Binary 11110001011010110010000 (23 bits)
Octal 0o36132620
Hexadecimal 0x78B590

Divisor Catalog (5 of 30)

1 2 4 5 8

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.

7,910,800 3,955,400 1,977,700 988,850 494,425

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