λ
Sequence Observatory

3,838,098

2 × 3 × 11 × 58153
Abundant Even Composite

Starting at 3,838,098, the Collatz iteration reaches 1 after 216 steps. The first transition is 1919049; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 58153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,374,176
Proper Divisor Sum 4,536,078
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3838097 ← → #3838099

Radix Representation

Decimal 3838098
Binary 1110101001000010010010 (22 bits)
Octal 0o16510222
Hexadecimal 0x3A9092

Divisor Catalog (16)

1 2 3 6 11 22 33 66 58,153 116,306 174,459 348,918 639,683 1,279,366 1,919,049 3,838,098

Collatz Trajectory (216 steps to reach 1)

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

3,838,098 1,919,049 5,757,148 2,878,574 1,439,287 4,317,862 2,158,931 6,476,794 3,238,397 9,715,192 4,857,596 2,428,798 1,214,399 3,643,198 1,821,599 5,464,798 2,732,399 8,197,198 4,098,599 12,295,798 6,147,899 18,443,698 9,221,849 27,665,548 13,832,774 6,916,387 20,749,162 10,374,581 31,123,744 15,561,872 7,780,936 3,890,468 1,945,234 972,617 2,917,852 1,458,926 729,463 2,188,390 1,094,195 3,282,586 1,641,293 4,923,880 2,461,940 1,230,970 615,485 1,846,456 923,228 461,614 230,807 692,422 346,211 1,038,634 519,317 1,557,952 778,976 389,488 194,744 97,372 48,686 24,343

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