λ
Math Directory

7,967,578

2 × 3983789
Deficient Even Composite

7,967,578 factors as 2 × 3983789. Its 4 positive divisors give a proper-divisor sum of 3,983,792, so this integer is deficient. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 2 × 3983789
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,951,370
Proper Divisor Sum 3,983,792
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #7967569 ← → #7967579

Radix Representation

Decimal 7967578
Binary 11110011001001101011010 (23 bits)
Octal 0o36311532
Hexadecimal 0x79935A

Divisor Catalog (4)

1 2 3,983,789 7,967,578

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.

7,967,578 3,983,789 11,951,368 5,975,684 2,987,842

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