λ
Matchaa Zalai

3,320,382

2 × 3 × 13 × 42569
Abundant Even Composite

3,320,382 factors as 2 × 3 × 13 × 42569. Its 16 positive divisors give a proper-divisor sum of 3,831,378, so this integer is abundant. The Collatz stopping time is 164 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 13 × 42569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,151,760
Proper Divisor Sum 3,831,378
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3320381 ← → #3320431

Radix Representation

Decimal 3320382
Binary 1100101010101000111110 (22 bits)
Octal 0o14525076
Hexadecimal 0x32AA3E

Divisor Catalog (5 of 16)

1 2 3 6 13

Collatz Trajectory (164 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.

3,320,382 1,660,191 4,980,574 2,490,287 7,470,862

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