λ
Sequence Observatory

3,774,042

2 × 32 × 209669
Abundant Even Composite

Starting at 3,774,042, the Collatz iteration reaches 1 after 216 steps. The first transition is 1887021; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 209669
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,177,130
Proper Divisor Sum 4,403,088
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3774019 ← → #3774061

Radix Representation

Decimal 3774042
Binary 1110011001011001011010 (22 bits)
Octal 0o16313132
Hexadecimal 0x39965A

Divisor Catalog (12)

1 2 3 6 9 18 209,669 419,338 629,007 1,258,014 1,887,021 3,774,042

Collatz Trajectory (216 steps to reach 1)

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

3,774,042 1,887,021 5,661,064 2,830,532 1,415,266 707,633 2,122,900 1,061,450 530,725 1,592,176 796,088 398,044 199,022 99,511 298,534 149,267 447,802 223,901 671,704 335,852 167,926 83,963 251,890 125,945 377,836 188,918 94,459 283,378 141,689 425,068 212,534 106,267 318,802 159,401 478,204 239,102 119,551 358,654 179,327 537,982 268,991 806,974 403,487 1,210,462 605,231 1,815,694 907,847 2,723,542 1,361,771 4,085,314 2,042,657 6,127,972 3,063,986 1,531,993 4,595,980 2,297,990 1,148,995 3,446,986 1,723,493 5,170,480

More profiles

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