λ
Match Zalai

705,800

23 × 52 × 3529
Abundant Even Composite

705,800 factors as 2^3 × 5^2 × 3529. Its 24 positive divisors give a proper-divisor sum of 935,650, so this integer is abundant. The Collatz stopping time is 105 steps.

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Prime Factor Structure

Factorization String 2^3 × 5^2 × 3529
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,641,450
Proper Divisor Sum 935,650
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #705787 ← → #705821

Radix Representation

Decimal 705800
Binary 10101100010100001000 (20 bits)
Octal 0o2542410
Hexadecimal 0xAC508

Divisor Catalog (5 of 24)

1 2 4 5 8

Collatz Trajectory (105 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.

705,800 352,900 176,450 88,225 264,676

More profiles

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