λ
Matchaa Zalai

820,206

2 × 34 × 61 × 83
Abundant Even Composite

820,206 factors as 2 × 3^4 × 61 × 83. Its 40 positive divisors give a proper-divisor sum of 1,070,298, so this integer is abundant. The Collatz stopping time is 268 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2 × 3^4 × 61 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,890,504
Proper Divisor Sum 1,070,298
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #820201 ← → #820213

Radix Representation

Decimal 820206
Binary 11001000001111101110 (20 bits)
Octal 0o3101756
Hexadecimal 0xC83EE

Divisor Catalog (5 of 40)

1 2 3 6 9

Collatz Trajectory (268 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.

820,206 410,103 1,230,310 615,155 1,845,466

More profiles

← Previous Integer #820,205 Browse Full Index Next Integer #820,207 →