λ
Matchaa Zalai

681,216

28 × 3 × 887
Abundant Even Composite

681,216 factors as 2^8 × 3 × 887. Its 36 positive divisors give a proper-divisor sum of 1,133,856, so this integer is abundant. The Collatz stopping time is 61 steps.

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Prime Factor Structure

Factorization String 2^8 × 3 × 887
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,815,072
Proper Divisor Sum 1,133,856
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #681179 ← → #681221

Radix Representation

Decimal 681216
Binary 10100110010100000000 (20 bits)
Octal 0o2462400
Hexadecimal 0xA6500

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (61 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.

681,216 340,608 170,304 85,152 42,576

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