λ
Match Zalai

4,008,348

22 × 32 × 23 × 47 × 103
Abundant Even Composite

4,008,348 factors as 2^2 × 3^2 × 23 × 47 × 103. Its 72 positive divisors give a proper-divisor sum of 6,894,180, so this integer is abundant. The Collatz stopping time is 92 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 47 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 10,902,528
Proper Divisor Sum 6,894,180
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4008317 ← → #4008349

Radix Representation

Decimal 4008348
Binary 1111010010100110011100 (22 bits)
Octal 0o17224634
Hexadecimal 0x3D299C

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (92 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.

4,008,348 2,004,174 1,002,087 3,006,262 1,503,131

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