λ
Sequence Observatory

3,927,324

22 × 3 × 327277
Abundant Even Composite

Starting at 3,927,324, the Collatz iteration reaches 1 after 185 steps. The first transition is 1963662; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 327277
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,163,784
Proper Divisor Sum 5,236,460
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3927307 ← → #3927337

Radix Representation

Decimal 3927324
Binary 1110111110110100011100 (22 bits)
Octal 0o16766434
Hexadecimal 0x3BED1C

Divisor Catalog (12)

1 2 3 4 6 12 327,277 654,554 981,831 1,309,108 1,963,662 3,927,324

Collatz Trajectory (185 steps to reach 1)

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

3,927,324 1,963,662 981,831 2,945,494 1,472,747 4,418,242 2,209,121 6,627,364 3,313,682 1,656,841 4,970,524 2,485,262 1,242,631 3,727,894 1,863,947 5,591,842 2,795,921 8,387,764 4,193,882 2,096,941 6,290,824 3,145,412 1,572,706 786,353 2,359,060 1,179,530 589,765 1,769,296 884,648 442,324 221,162 110,581 331,744 165,872 82,936 41,468 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470

More profiles

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