λ
Integer Codex

2,009,928

23 × 3 × 83 × 1009
Abundant Even Composite

For 2,009,928, the 32 positive divisors have a total of 5,090,400. Removing 2,009,928 leaves 3,080,472, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 3 × 83 × 1009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,090,400
Proper Divisor Sum 3,080,472
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2009923 ← → #2009957

Radix Representation

Decimal 2009928
Binary 111101010101101001000 (21 bits)
Octal 0o7525510
Hexadecimal 0x1EAB48

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (65 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.

2,009,928 1,004,964 502,482 251,241 753,724

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