λ
Sequence Observatory

3,751,638

2 × 3 × 11 × 56843
Abundant Even Composite

Starting at 3,751,638, the Collatz iteration reaches 1 after 172 steps. The first transition is 1875819; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 56843
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,185,536
Proper Divisor Sum 4,433,898
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3751637 ← → #3751639

Radix Representation

Decimal 3751638
Binary 1110010011111011010110 (22 bits)
Octal 0o16237326
Hexadecimal 0x393ED6

Divisor Catalog (16)

1 2 3 6 11 22 33 66 56,843 113,686 170,529 341,058 625,273 1,250,546 1,875,819 3,751,638

Collatz Trajectory (172 steps to reach 1)

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

3,751,638 1,875,819 5,627,458 2,813,729 8,441,188 4,220,594 2,110,297 6,330,892 3,165,446 1,582,723 4,748,170 2,374,085 7,122,256 3,561,128 1,780,564 890,282 445,141 1,335,424 667,712 333,856 166,928 83,464 41,732 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664

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