λ
Sequence Observatory

3,541,842

2 × 32 × 196769
Abundant Even Composite

Starting at 3,541,842, the Collatz iteration reaches 1 after 146 steps. The first transition is 1770921; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 196769
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,674,030
Proper Divisor Sum 4,132,188
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3541823 ← → #3541871

Radix Representation

Decimal 3541842
Binary 1101100000101101010010 (22 bits)
Octal 0o15405522
Hexadecimal 0x360B52

Divisor Catalog (12)

1 2 3 6 9 18 196,769 393,538 590,307 1,180,614 1,770,921 3,541,842

Collatz Trajectory (146 steps to reach 1)

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

3,541,842 1,770,921 5,312,764 2,656,382 1,328,191 3,984,574 1,992,287 5,976,862 2,988,431 8,965,294 4,482,647 13,447,942 6,723,971 20,171,914 10,085,957 30,257,872 15,128,936 7,564,468 3,782,234 1,891,117 5,673,352 2,836,676 1,418,338 709,169 2,127,508 1,063,754 531,877 1,595,632 797,816 398,908 199,454 99,727 299,182 149,591 448,774 224,387 673,162 336,581 1,009,744 504,872 252,436 126,218 63,109 189,328 94,664 47,332 23,666 11,833 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468

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