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Math Directory

8,391,484

22 × 101 × 20771
Deficient Even Composite

8,391,484 factors as 2^2 × 101 × 20771. Its 12 positive divisors give a proper-divisor sum of 6,439,724, so this integer is deficient. The Collatz stopping time is 230 steps.

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Prime Factor Structure

Factorization String 2^2 × 101 × 20771
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,831,208
Proper Divisor Sum 6,439,724
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8391479 ← → #8391491

Radix Representation

Decimal 8391484
Binary 100000000000101100111100 (24 bits)
Octal 0o40005474
Hexadecimal 0x800B3C

Divisor Catalog (5 of 12)

1 2 4 101 202

Collatz Trajectory (230 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.

8,391,484 4,195,742 2,097,871 6,293,614 3,146,807

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