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Math Directory

6,972,563

13 × 19 × 28229
Deficient Odd Composite

6,972,563 factors as 13 × 19 × 28229. Its 8 positive divisors give a proper-divisor sum of 931,837, so this integer is deficient. The Collatz stopping time is 147 steps.

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Prime Factor Structure

Factorization String 13 × 19 × 28229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,904,400
Proper Divisor Sum 931,837
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6972547 ← → #6972569

Radix Representation

Decimal 6972563
Binary 11010100110010010010011 (23 bits)
Octal 0o32462223
Hexadecimal 0x6A6493

Divisor Catalog (5 of 8)

1 13 19 247 28,229

Collatz Trajectory (147 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.

6,972,563 20,917,690 10,458,845 31,376,536 15,688,268

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