λ
Match Zalai

7,876,616

23 × 112 × 79 × 103
Abundant Even Composite

7,876,616 factors as 2^3 × 11^2 × 79 × 103. Its 48 positive divisors give a proper-divisor sum of 8,721,784, so this integer is abundant. The Collatz stopping time is 186 steps.

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Prime Factor Structure

Factorization String 2^3 × 11^2 × 79 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,598,400
Proper Divisor Sum 8,721,784
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7876607 ← → #7876643

Radix Representation

Decimal 7876616
Binary 11110000011000000001000 (23 bits)
Octal 0o36030010
Hexadecimal 0x783008

Divisor Catalog (5 of 48)

1 2 4 8 11

Collatz Trajectory (186 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.

7,876,616 3,938,308 1,969,154 984,577 2,953,732

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