λ
Sigma Notebook

3,687,336

23 × 33 × 43 × 397
Abundant Even Composite

3,687,336 is even and not a perfect square. Its factorization is 2^3 × 3^3 × 43 × 397 and its 64 divisors sum to 10,507,200.

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Prime Factor Structure

Factorization String 2^3 × 3^3 × 43 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,507,200
Proper Divisor Sum 6,819,864
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3687319 ← → #3687373

Radix Representation

Decimal 3687336
Binary 1110000100001110101000 (22 bits)
Octal 0o16041650
Hexadecimal 0x3843A8

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (172 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.

3,687,336 1,843,668 921,834 460,917 1,382,752

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