λ
Math Directory

7,891,347

3 × 47 × 55967
Deficient Odd Composite

7,891,347 factors as 3 × 47 × 55967. Its 8 positive divisors give a proper-divisor sum of 2,854,509, so this integer is deficient. The Collatz stopping time is 67 steps.

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Prime Factor Structure

Factorization String 3 × 47 × 55967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,745,856
Proper Divisor Sum 2,854,509
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7891313 ← → #7891361

Radix Representation

Decimal 7891347
Binary 11110000110100110010011 (23 bits)
Octal 0o36064623
Hexadecimal 0x786993

Divisor Catalog (5 of 8)

1 3 47 141 55,967

Collatz Trajectory (67 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.

7,891,347 23,674,042 11,837,021 35,511,064 17,755,532

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