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Math Directory

6,911,211

3 × 712 × 457
Deficient Odd Composite

6,911,211 factors as 3 × 71^2 × 457. Its 12 positive divisors give a proper-divisor sum of 2,455,805, so this integer is deficient. The Collatz stopping time is 222 steps.

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Prime Factor Structure

Factorization String 3 × 71^2 × 457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,367,016
Proper Divisor Sum 2,455,805
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6911207 ← → #6911221

Radix Representation

Decimal 6911211
Binary 11010010111010011101011 (23 bits)
Octal 0o32272353
Hexadecimal 0x6974EB

Divisor Catalog (5 of 12)

1 3 71 213 457

Collatz Trajectory (222 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.

6,911,211 20,733,634 10,366,817 31,100,452 15,550,226

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