3,084,198

2 × 3 × 13 × 39541

Starting at 3,084,198, the Collatz iteration reaches 1 after 226 steps. The first transition is 1542099; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 39541

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,643,056

Proper Divisor Sum 3,558,858

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3084173 ← → #3084203

Radix Representation

Decimal	3084198
Binary	1011110000111110100110 (22 bits)
Octal	0o13607646
Hexadecimal	0x2F0FA6

Divisor Catalog (16)

1 2 3 6 13 26 39 78 39,541 79,082 118,623 237,246 514,033 1,028,066 1,542,099 3,084,198

Collatz Trajectory (226 steps to reach 1)

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

3,084,198 1,542,099 4,626,298 2,313,149 6,939,448 3,469,724 1,734,862 867,431 2,602,294 1,301,147 3,903,442 1,951,721 5,855,164 2,927,582 1,463,791 4,391,374 2,195,687 6,587,062 3,293,531 9,880,594 4,940,297 14,820,892 7,410,446 3,705,223 11,115,670 5,557,835 16,673,506 8,336,753 25,010,260 12,505,130 6,252,565 18,757,696 9,378,848 4,689,424 2,344,712 1,172,356 586,178 293,089 879,268 439,634 219,817 659,452 329,726 164,863 494,590 247,295 741,886 370,943 1,112,830 556,415 1,669,246 834,623 2,503,870 1,251,935 3,755,806 1,877,903 5,633,710 2,816,855 8,450,566 4,225,283

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