λ
Sigma Notebook

3,982,884

22 × 3 × 331907
Abundant Even Composite

3,982,884 is even and not a perfect square. Its factorization is 2^2 × 3 × 331907 and its 12 divisors sum to 9,293,424.

Prime Factor Structure

Factorization String 2^2 × 3 × 331907
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,293,424
Proper Divisor Sum 5,310,540
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3982883 ← → #3982903

Radix Representation

Decimal 3982884
Binary 1111001100011000100100 (22 bits)
Octal 0o17143044
Hexadecimal 0x3CC624

Divisor Catalog (12)

1 2 3 4 6 12 331,907 663,814 995,721 1,327,628 1,991,442 3,982,884

Collatz Trajectory (216 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,982,884 1,991,442 995,721 2,987,164 1,493,582 746,791 2,240,374 1,120,187 3,360,562 1,680,281 5,040,844 2,520,422 1,260,211 3,780,634 1,890,317 5,670,952 2,835,476 1,417,738 708,869 2,126,608 1,063,304 531,652 265,826 132,913 398,740 199,370 99,685 299,056 149,528 74,764 37,382 18,691 56,074 28,037 84,112 42,056 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630

More profiles

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