λ
Integer Codex

7,375,338

2 × 32 × 29 × 71 × 199
Abundant Even Composite

For 7,375,338, the 48 positive divisors have a total of 16,848,000. Removing 7,375,338 leaves 9,472,662, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 71 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,848,000
Proper Divisor Sum 9,472,662
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7375283 ← → #7375339

Radix Representation

Decimal 7375338
Binary 11100001000100111101010 (23 bits)
Octal 0o34104752
Hexadecimal 0x7089EA

Divisor Catalog (5 of 48)

1 2 3 6 9

Collatz Trajectory (173 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.

7,375,338 3,687,669 11,063,008 5,531,504 2,765,752

More profiles

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