λ
Sigma Notebook

3,339,042

2 × 3 × 7 × 107 × 743
Abundant Even Composite

3,339,042 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 107 × 743 and its 32 divisors sum to 7,713,792.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 107 × 743
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,713,792
Proper Divisor Sum 4,374,750
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3339029 ← → #3339043

Radix Representation

Decimal 3339042
Binary 1100101111001100100010 (22 bits)
Octal 0o14571442
Hexadecimal 0x32F322

Divisor Catalog (32)

1 2 3 6 7 14 21 42 107 214 321 642 743 749 1,486 1,498 2,229 2,247 4,458 4,494 5,201 10,402 15,603 31,206 79,501 159,002 238,503 477,006 556,507 1,113,014 1,669,521 3,339,042

Collatz Trajectory (89 steps to reach 1)

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

3,339,042 1,669,521 5,008,564 2,504,282 1,252,141 3,756,424 1,878,212 939,106 469,553 1,408,660 704,330 352,165 1,056,496 528,248 264,124 132,062 66,031 198,094 99,047 297,142 148,571 445,714 222,857 668,572 334,286 167,143 501,430 250,715 752,146 376,073 1,128,220 564,110 282,055 846,166 423,083 1,269,250 634,625 1,903,876 951,938 475,969 1,427,908 713,954 356,977 1,070,932 535,466 267,733 803,200 401,600 200,800 100,400 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530

More profiles

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