λ
Integer Codex

3,629,668

22 × 7 × 129631
Abundant Even Composite

For 3,629,668, the 12 positive divisors have a total of 7,259,392. Removing 3,629,668 leaves 3,629,724, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 7 × 129631
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,259,392
Proper Divisor Sum 3,629,724
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3629657 ← → #3629671

Radix Representation

Decimal 3629668
Binary 1101110110001001100100 (22 bits)
Octal 0o15661144
Hexadecimal 0x376264

Divisor Catalog (5 of 12)

1 2 4 7 14

Collatz Trajectory (71 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.

3,629,668 1,814,834 907,417 2,722,252 1,361,126

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