λ
Match Zalai

7,600,644

22 × 32 × 211129
Abundant Even Composite

7,600,644 factors as 2^2 × 3^2 × 211129. Its 18 positive divisors give a proper-divisor sum of 11,612,186, so this integer is abundant. The Collatz stopping time is 155 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 211129
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 19,212,830
Proper Divisor Sum 11,612,186
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7600633 ← → #7600667

Radix Representation

Decimal 7600644
Binary 11100111111101000000100 (23 bits)
Octal 0o34775004
Hexadecimal 0x73FA04

Divisor Catalog (5 of 18)

1 2 3 4 6

Collatz Trajectory (155 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.

7,600,644 3,800,322 1,900,161 5,700,484 2,850,242

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