λ
Ratio Atlas

729,945

33 × 5 × 5407
Deficient Odd Composite

729,945 factors as 3^3 × 5 × 5407. Its 16 positive divisors give a proper-divisor sum of 567,975, so this integer is deficient. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 5407
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,297,920
Proper Divisor Sum 567,975
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #729943 ← → #729947

Radix Representation

Decimal 729945
Binary 10110010001101011001 (20 bits)
Octal 0o2621531
Hexadecimal 0xB2359

Divisor Catalog (16)

Collatz Trajectory (61 steps to reach 1)

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

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