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Math Directory

9,738,742

2 × 13 × 463 × 809
Deficient Even Composite

9,738,742 factors as 2 × 13 × 463 × 809. Its 16 positive divisors give a proper-divisor sum of 6,046,538, so this integer is deficient. The Collatz stopping time is 225 steps.

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Prime Factor Structure

Factorization String 2 × 13 × 463 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,785,280
Proper Divisor Sum 6,046,538
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9738737 ← → #9738763

Radix Representation

Decimal 9738742
Binary 100101001001100111110110 (24 bits)
Octal 0o45114766
Hexadecimal 0x9499F6

Divisor Catalog (5 of 16)

1 2 13 26 463

Collatz Trajectory (225 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.

9,738,742 4,869,371 14,608,114 7,304,057 21,912,172

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