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Math Directory

7,808,088

23 × 3 × 19 × 17123
Abundant Even Composite

7,808,088 factors as 2^3 × 3 × 19 × 17123. Its 32 positive divisors give a proper-divisor sum of 12,740,712, so this integer is abundant. The Collatz stopping time is 129 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 17123
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,548,800
Proper Divisor Sum 12,740,712
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7808051 ← → #7808093

Radix Representation

Decimal 7808088
Binary 11101110010010001011000 (23 bits)
Octal 0o35622130
Hexadecimal 0x772458

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (129 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.

7,808,088 3,904,044 1,952,022 976,011 2,928,034

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