λ
Ratio Atlas

2,109,666

2 × 3 × 13 × 17 × 37 × 43
Abundant Even Composite

2,109,666 factors as 2 × 3 × 13 × 17 × 37 × 43. Its 64 positive divisors give a proper-divisor sum of 2,946,462, so this integer is abundant. The Collatz stopping time is 104 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 13 × 17 × 37 × 43
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,056,128
Proper Divisor Sum 2,946,462
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2109647 ← → #2109671

Radix Representation

Decimal 2109666
Binary 1000000011000011100010 (22 bits)
Octal 0o10030342
Hexadecimal 0x2030E2

Divisor Catalog (5 of 64)

1 2 3 6 13

Collatz Trajectory (104 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.

2,109,666 1,054,833 3,164,500 1,582,250 791,125

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