λ
Sigma Notebook

3,201,642

2 × 32 × 83 × 2143
Abundant Even Composite

3,201,642 is even and not a perfect square. Its factorization is 2 × 3^2 × 83 × 2143 and its 24 divisors sum to 7,023,744.

Prime Factor Structure

Factorization String 2 × 3^2 × 83 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,023,744
Proper Divisor Sum 3,822,102
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3201641 ← → #3201643

Radix Representation

Decimal 3201642
Binary 1100001101101001101010 (22 bits)
Octal 0o14155152
Hexadecimal 0x30DA6A

Divisor Catalog (24)

1 2 3 6 9 18 83 166 249 498 747 1,494 2,143 4,286 6,429 12,858 19,287 38,574 177,869 355,738 533,607 1,067,214 1,600,821 3,201,642

Collatz Trajectory (239 steps to reach 1)

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

3,201,642 1,600,821 4,802,464 2,401,232 1,200,616 600,308 300,154 150,077 450,232 225,116 112,558 56,279 168,838 84,419 253,258 126,629 379,888 189,944 94,972 47,486 23,743 71,230 35,615 106,846 53,423 160,270 80,135 240,406 120,203 360,610 180,305 540,916 270,458 135,229 405,688 202,844 101,422 50,711 152,134 76,067 228,202 114,101 342,304 171,152 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385

More profiles

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