λ
Ratio Atlas

727,464

23 × 3 × 17 × 1783
Abundant Even Composite

727,464 factors as 2^3 × 3 × 17 × 1783. Its 32 positive divisors give a proper-divisor sum of 1,199,256, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 1783
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,926,720
Proper Divisor Sum 1,199,256
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #727459 ← → #727471

Radix Representation

Decimal 727464
Binary 10110001100110101000 (20 bits)
Octal 0o2614650
Hexadecimal 0xB19A8

Divisor Catalog (32)

Collatz Trajectory (87 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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