λ
Match Zalai

7,582,206

2 × 3 × 1263701
Abundant Even Composite

7,582,206 factors as 2 × 3 × 1263701. Its 8 positive divisors give a proper-divisor sum of 7,582,218, so this integer is abundant. The Collatz stopping time is 266 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 1263701
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,164,424
Proper Divisor Sum 7,582,218
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7582123 ← → #7582219

Radix Representation

Decimal 7582206
Binary 11100111011000111111110 (23 bits)
Octal 0o34730776
Hexadecimal 0x73B1FE

Divisor Catalog (5 of 8)

1 2 3 6 1,263,701

Collatz Trajectory (266 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.

7,582,206 3,791,103 11,373,310 5,686,655 17,059,966

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