λ
Ratio Atlas

727,110

2 × 33 × 5 × 2693
Abundant Even Composite

727,110 factors as 2 × 3^3 × 5 × 2693. Its 32 positive divisors give a proper-divisor sum of 1,212,570, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 2693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,939,680
Proper Divisor Sum 1,212,570
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #727079 ← → #727121

Radix Representation

Decimal 727110
Binary 10110001100001000110 (20 bits)
Octal 0o2614106
Hexadecimal 0xB1846

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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