λ
Ratio Atlas

732,840

23 × 3 × 5 × 31 × 197
Abundant Even Composite

732,840 factors as 2^3 × 3 × 5 × 31 × 197. Its 64 positive divisors give a proper-divisor sum of 1,548,120, so this integer is abundant. The Collatz stopping time is 35 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 31 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 2,280,960
Proper Divisor Sum 1,548,120
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #732833 ← → #732841

Radix Representation

Decimal 732840
Binary 10110010111010101000 (20 bits)
Octal 0o2627250
Hexadecimal 0xB2EA8

Divisor Catalog (60 of 64)

Collatz Trajectory (35 steps to reach 1)

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

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