2,686,131

3² × 7² × 6091

Starting at 2,686,131, the Collatz iteration reaches 1 after 262 steps. The first transition is 8058394; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 6091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 4,514,172

Proper Divisor Sum 1,828,041

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2686111 ← → #2686133

Radix Representation

Decimal	2686131
Binary	1010001111110010110011 (22 bits)
Octal	0o12176263
Hexadecimal	0x28FCB3

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 6,091 18,273 42,637 54,819 127,911 298,459 383,733 895,377 2,686,131

Collatz Trajectory (262 steps to reach 1)

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

2,686,131 8,058,394 4,029,197 12,087,592 6,043,796 3,021,898 1,510,949 4,532,848 2,266,424 1,133,212 566,606 283,303 849,910 424,955 1,274,866 637,433 1,912,300 956,150 478,075 1,434,226 717,113 2,151,340 1,075,670 537,835 1,613,506 806,753 2,420,260 1,210,130 605,065 1,815,196 907,598 453,799 1,361,398 680,699 2,042,098 1,021,049 3,063,148 1,531,574 765,787 2,297,362 1,148,681 3,446,044 1,723,022 861,511 2,584,534 1,292,267 3,876,802 1,938,401 5,815,204 2,907,602 1,453,801 4,361,404 2,180,702 1,090,351 3,271,054 1,635,527 4,906,582 2,453,291 7,359,874 3,679,937

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