λ
Match Zalai

7,776,792

23 × 32 × 108011
Abundant Even Composite

7,776,792 factors as 2^3 × 3^2 × 108011. Its 24 positive divisors give a proper-divisor sum of 13,285,548, so this integer is abundant. The Collatz stopping time is 98 steps.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 108011
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,062,340
Proper Divisor Sum 13,285,548
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7776787 ← → #7776799

Radix Representation

Decimal 7776792
Binary 11101101010101000011000 (23 bits)
Octal 0o35525030
Hexadecimal 0x76AA18

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (98 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.

7,776,792 3,888,396 1,944,198 972,099 2,916,298

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