λ
Math Directory

7,707,974

2 × 523 × 7369
Deficient Even Composite

7,707,974 factors as 2 × 523 × 7369. Its 8 positive divisors give a proper-divisor sum of 3,877,666, so this integer is deficient. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 2 × 523 × 7369
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,585,640
Proper Divisor Sum 3,877,666
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7707943 ← → #7707979

Radix Representation

Decimal 7707974
Binary 11101011001110101000110 (23 bits)
Octal 0o35316506
Hexadecimal 0x759D46

Divisor Catalog (5 of 8)

1 2 523 1,046 7,369

Collatz Trajectory (217 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.

7,707,974 3,853,987 11,561,962 5,780,981 17,342,944

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