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Math Directory

3,962,472

23 × 3 × 165103
Abundant Even Composite

3,962,472 factors as 2^3 × 3 × 165103. Its 16 positive divisors give a proper-divisor sum of 5,943,768, so this integer is abundant. The Collatz stopping time is 154 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 165103
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,906,240
Proper Divisor Sum 5,943,768
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3962471 ← → #3962489

Radix Representation

Decimal 3962472
Binary 1111000111011001101000 (22 bits)
Octal 0o17073150
Hexadecimal 0x3C7668

Divisor Catalog (5 of 16)

1 2 3 4 6

Collatz Trajectory (154 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.

3,962,472 1,981,236 990,618 495,309 1,485,928

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