λ
Ratio Atlas

821,027

821027
Deficient Odd Prime

821,027 factors as 821027. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 821027
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 821,028
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #821003 ← → #821039

Radix Representation

Decimal 821027
Binary 11001000011100100011 (20 bits)
Octal 0o3103443
Hexadecimal 0xC8723

Divisor Catalog (2)

Collatz Trajectory (82 steps to reach 1)

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

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