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Math Directory

2,834,209

73 × 8263
Deficient Odd Composite

2,834,209 factors as 7^3 × 8263. Its 8 positive divisors give a proper-divisor sum of 471,391, so this integer is deficient. The Collatz stopping time is 107 steps.

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Prime Factor Structure

Factorization String 7^3 × 8263
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,305,600
Proper Divisor Sum 471,391
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2834203 ← → #2834213

Radix Representation

Decimal 2834209
Binary 1010110011111100100001 (22 bits)
Octal 0o12637441
Hexadecimal 0x2B3F21

Divisor Catalog (5 of 8)

1 7 49 343 8,263

Collatz Trajectory (107 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.

2,834,209 8,502,628 4,251,314 2,125,657 6,376,972

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