λ
Matchaa Zalai

4,680,816

24 × 3 × 7 × 13931
Abundant Even Composite

4,680,816 factors as 2^4 × 3 × 7 × 13931. Its 40 positive divisors give a proper-divisor sum of 9,139,728, so this integer is abundant. The Collatz stopping time is 100 steps.

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Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,820,544
Proper Divisor Sum 9,139,728
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4680811 ← → #4680827

Radix Representation

Decimal 4680816
Binary 10001110110110001110000 (23 bits)
Octal 0o21666160
Hexadecimal 0x476C70

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (100 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.

4,680,816 2,340,408 1,170,204 585,102 292,551

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