λ
Match Zalai

8,678,768

24 × 7 × 77489
Abundant Even Composite

8,678,768 factors as 2^4 × 7 × 77489. Its 20 positive divisors give a proper-divisor sum of 10,538,752, so this integer is abundant. The Collatz stopping time is 67 steps.

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Prime Factor Structure

Factorization String 2^4 × 7 × 77489
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 19,217,520
Proper Divisor Sum 10,538,752
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #8678759 ← → #8678773

Radix Representation

Decimal 8678768
Binary 100001000110110101110000 (24 bits)
Octal 0o41066560
Hexadecimal 0x846D70

Divisor Catalog (5 of 20)

1 2 4 7 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.

8,678,768 4,339,384 2,169,692 1,084,846 542,423

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