λ
Sequence Observatory

6,743,694

2 × 3 × 372 × 821
Abundant Even Composite

Starting at 6,743,694, the Collatz iteration reaches 1 after 108 steps. The first transition is 3371847; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37^2 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,878,648
Proper Divisor Sum 7,134,954
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6743687 ← → #6743699

Radix Representation

Decimal 6743694
Binary 11001101110011010001110 (23 bits)
Octal 0o31563216
Hexadecimal 0x66E68E

Divisor Catalog (24)

1 2 3 6 37 74 111 222 821 1,369 1,642 2,463 2,738 4,107 4,926 8,214 30,377 60,754 91,131 182,262 1,123,949 2,247,898 3,371,847 6,743,694

Collatz Trajectory (108 steps to reach 1)

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

6,743,694 3,371,847 10,115,542 5,057,771 15,173,314 7,586,657 22,759,972 11,379,986 5,689,993 17,069,980 8,534,990 4,267,495 12,802,486 6,401,243 19,203,730 9,601,865 28,805,596 14,402,798 7,201,399 21,604,198 10,802,099 32,406,298 16,203,149 48,609,448 24,304,724 12,152,362 6,076,181 18,228,544 9,114,272 4,557,136 2,278,568 1,139,284 569,642 284,821 854,464 427,232 213,616 106,808 53,404 26,702 13,351 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130

More profiles

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