λ
Ratio Atlas

393,727

393727
Deficient Odd Prime

393,727 factors as 393727. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 298 steps.

Prime Factor Structure

Factorization String 393727
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 393,728
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #393721 ← → #393739

Radix Representation

Decimal 393727
Binary 1100000000111111111 (19 bits)
Octal 0o1400777
Hexadecimal 0x601FF

Divisor Catalog (2)

Collatz Trajectory (298 steps to reach 1)

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

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