λ
Match Zalai

7,739,956

22 × 7 × 31 × 37 × 241
Abundant Even Composite

7,739,956 factors as 2^2 × 7 × 31 × 37 × 241. Its 48 positive divisors give a proper-divisor sum of 8,739,276, so this integer is abundant. The Collatz stopping time is 111 steps.

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Prime Factor Structure

Factorization String 2^2 × 7 × 31 × 37 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,479,232
Proper Divisor Sum 8,739,276
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7739951 ← → #7739959

Radix Representation

Decimal 7739956
Binary 11101100001101000110100 (23 bits)
Octal 0o35415064
Hexadecimal 0x761A34

Divisor Catalog (5 of 48)

1 2 4 7 14

Collatz Trajectory (111 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.

7,739,956 3,869,978 1,934,989 5,804,968 2,902,484

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