λ
Math Directory

703,728

24 × 35 × 181
Abundant Even Composite

703,728 factors as 2^4 × 3^5 × 181. Its 60 positive divisors give a proper-divisor sum of 1,349,960, so this integer is abundant. The Collatz stopping time is 105 steps.

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Prime Factor Structure

Factorization String 2^4 × 3^5 × 181
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 2,053,688
Proper Divisor Sum 1,349,960
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #703721 ← → #703733

Radix Representation

Decimal 703728
Binary 10101011110011110000 (20 bits)
Octal 0o2536360
Hexadecimal 0xABCF0

Divisor Catalog (5 of 60)

1 2 3 4 6

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.

703,728 351,864 175,932 87,966 43,983

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