λ
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3,085,698

2 × 3 × 7 × 11 × 6679
Abundant Even Composite

3,085,698 factors as 2 × 3 × 7 × 11 × 6679. Its 32 positive divisors give a proper-divisor sum of 4,609,662, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 6679
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,695,360
Proper Divisor Sum 4,609,662
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3085673 ← → #3085711

Radix Representation

Decimal 3085698
Binary 1011110001010110000010 (22 bits)
Octal 0o13612602
Hexadecimal 0x2F1582

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 6,679 13,358 20,037 40,074 46,753 73,469 93,506 140,259 146,938 220,407 280,518 440,814 514,283 1,028,566 1,542,849 3,085,698

Collatz Trajectory (102 steps to reach 1)

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

3,085,698 1,542,849 4,628,548 2,314,274 1,157,137 3,471,412 1,735,706 867,853 2,603,560 1,301,780 650,890 325,445 976,336 488,168 244,084 122,042 61,021 183,064 91,532 45,766 22,883 68,650 34,325 102,976 51,488 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545

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