λ
Matchaa Zalai

7,629,774

2 × 3 × 53 × 23993
Abundant Even Composite

7,629,774 factors as 2 × 3 × 53 × 23993. Its 16 positive divisors give a proper-divisor sum of 7,918,338, so this integer is abundant. The Collatz stopping time is 129 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 53 × 23993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,548,112
Proper Divisor Sum 7,918,338
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7629757 ← → #7629781

Radix Representation

Decimal 7629774
Binary 11101000110101111001110 (23 bits)
Octal 0o35065716
Hexadecimal 0x746BCE

Divisor Catalog (5 of 16)

1 2 3 6 53

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.

7,629,774 3,814,887 11,444,662 5,722,331 17,166,994

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