λ
Match Zalai

7,746,596

22 × 11 × 13 × 29 × 467
Abundant Even Composite

7,746,596 factors as 2^2 × 11 × 13 × 29 × 467. Its 48 positive divisors give a proper-divisor sum of 8,764,444, so this integer is abundant. The Collatz stopping time is 129 steps.

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Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 29 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,511,040
Proper Divisor Sum 8,764,444
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7746593 ← → #7746617

Radix Representation

Decimal 7746596
Binary 11101100011010000100100 (23 bits)
Octal 0o35432044
Hexadecimal 0x763424

Divisor Catalog (5 of 48)

1 2 4 11 13

Collatz Trajectory (129 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.

7,746,596 3,873,298 1,936,649 5,809,948 2,904,974

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