λ
Match Zalai

725,676

22 × 3 × 7 × 53 × 163
Abundant Even Composite

725,676 factors as 2^2 × 3 × 7 × 53 × 163. Its 48 positive divisors give a proper-divisor sum of 1,258,068, so this integer is abundant. The Collatz stopping time is 92 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 53 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,983,744
Proper Divisor Sum 1,258,068
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #725671 ← → #725687

Radix Representation

Decimal 725676
Binary 10110001001010101100 (20 bits)
Octal 0o2611254
Hexadecimal 0xB12AC

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (92 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.

725,676 362,838 181,419 544,258 272,129

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