λ
Ratio Atlas

729,172

22 × 421 × 433
Deficient Even Composite

729,172 factors as 2^2 × 421 × 433. Its 12 positive divisors give a proper-divisor sum of 552,864, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 421 × 433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,282,036
Proper Divisor Sum 552,864
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #729143 ← → #729173

Radix Representation

Decimal 729172
Binary 10110010000001010100 (20 bits)
Octal 0o2620124
Hexadecimal 0xB2054

Divisor Catalog (12)

Collatz Trajectory (136 steps to reach 1)

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

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