λ
Math Directory

3,128,202

2 × 32 × 7 × 11 × 37 × 61
Abundant Even Composite

3,128,202 factors as 2 × 3^2 × 7 × 11 × 37 × 61. Its 96 positive divisors give a proper-divisor sum of 5,692,662, so this integer is abundant. The Collatz stopping time is 45 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 37 × 61
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 8,820,864
Proper Divisor Sum 5,692,662
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3128197 ← → #3128227

Radix Representation

Decimal 3128202
Binary 1011111011101110001010 (22 bits)
Octal 0o13735612
Hexadecimal 0x2FBB8A

Divisor Catalog (5 of 96)

1 2 3 6 7

Collatz Trajectory (45 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.

3,128,202 1,564,101 4,692,304 2,346,152 1,173,076

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