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Math Directory

6,725,229

3 × 7 × 293 × 1093
Deficient Odd Composite

6,725,229 factors as 3 × 7 × 293 × 1093. Its 16 positive divisors give a proper-divisor sum of 3,567,123, so this integer is deficient. The Collatz stopping time is 209 steps.

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Prime Factor Structure

Factorization String 3 × 7 × 293 × 1093
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,292,352
Proper Divisor Sum 3,567,123
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6725219 ← → #6725239

Radix Representation

Decimal 6725229
Binary 11001101001111001101101 (23 bits)
Octal 0o31517155
Hexadecimal 0x669E6D

Divisor Catalog (5 of 16)

1 3 7 21 293

Collatz Trajectory (209 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.

6,725,229 20,175,688 10,087,844 5,043,922 2,521,961

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