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Math Directory

3,228,102

2 × 32 × 372 × 131
Abundant Even Composite

3,228,102 factors as 2 × 3^2 × 37^2 × 131. Its 36 positive divisors give a proper-divisor sum of 4,015,134, so this integer is abundant. The Collatz stopping time is 71 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 37^2 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,243,236
Proper Divisor Sum 4,015,134
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3228097 ← → #3228103

Radix Representation

Decimal 3228102
Binary 1100010100000111000110 (22 bits)
Octal 0o14240706
Hexadecimal 0x3141C6

Divisor Catalog (5 of 36)

1 2 3 6 9

Collatz Trajectory (71 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.

3,228,102 1,614,051 4,842,154 2,421,077 7,263,232

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