λ
Matchaa Zalai

821,677

821677
Deficient Odd Prime

821,677 factors as 821677. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 87 steps.

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Prime Factor Structure

Factorization String 821677
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 821,678
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #821663 ← → #821741

Radix Representation

Decimal 821677
Binary 11001000100110101101 (20 bits)
Octal 0o3104655
Hexadecimal 0xC89AD

Divisor Catalog (2)

1 821,677

Collatz Trajectory (87 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

821,677 2,465,032 1,232,516 616,258 308,129

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