λ
Integer Codex

4,387,644

22 × 32 × 307 × 397
Abundant Even Composite

For 4,387,644, the 36 positive divisors have a total of 11,155,144. Removing 4,387,644 leaves 6,767,500, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 307 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,155,144
Proper Divisor Sum 6,767,500
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4387633 ← → #4387661

Radix Representation

Decimal 4387644
Binary 10000101111001100111100 (23 bits)
Octal 0o20571474
Hexadecimal 0x42F33C

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (118 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.

4,387,644 2,193,822 1,096,911 3,290,734 1,645,367

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