2,686,780

2² × 5 × 134339

Starting at 2,686,780, the Collatz iteration reaches 1 after 138 steps. The first transition is 1343390; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 134339

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,642,280

Proper Divisor Sum 2,955,500

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2686777 ← → #2686781

Radix Representation

Decimal	2686780
Binary	1010001111111100111100 (22 bits)
Octal	0o12177474
Hexadecimal	0x28FF3C

Divisor Catalog (12)

1 2 4 5 10 20 134,339 268,678 537,356 671,695 1,343,390 2,686,780

Collatz Trajectory (138 steps to reach 1)

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

2,686,780 1,343,390 671,695 2,015,086 1,007,543 3,022,630 1,511,315 4,533,946 2,266,973 6,800,920 3,400,460 1,700,230 850,115 2,550,346 1,275,173 3,825,520 1,912,760 956,380 478,190 239,095 717,286 358,643 1,075,930 537,965 1,613,896 806,948 403,474 201,737 605,212 302,606 151,303 453,910 226,955 680,866 340,433 1,021,300 510,650 255,325 765,976 382,988 191,494 95,747 287,242 143,621 430,864 215,432 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044

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