λ
Ratio Atlas

727,121

727121
Deficient Odd Prime

727,121 factors as 727121. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 727121
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 727,122
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #727079 ← → #727123

Radix Representation

Decimal 727121
Binary 10110001100001010001 (20 bits)
Octal 0o2614121
Hexadecimal 0xB1851

Divisor Catalog (2)

Collatz Trajectory (149 steps to reach 1)

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

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