λ
Sequence Observatory

3,929,886

2 × 32 × 109 × 2003
Abundant Even Composite

Starting at 3,929,886, the Collatz iteration reaches 1 after 247 steps. The first transition is 1964943; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 109 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,597,160
Proper Divisor Sum 4,667,274
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3929879 ← → #3929917

Radix Representation

Decimal 3929886
Binary 1110111111011100011110 (22 bits)
Octal 0o16773436
Hexadecimal 0x3BF71E

Divisor Catalog (24)

1 2 3 6 9 18 109 218 327 654 981 1,962 2,003 4,006 6,009 12,018 18,027 36,054 218,327 436,654 654,981 1,309,962 1,964,943 3,929,886

Collatz Trajectory (247 steps to reach 1)

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

3,929,886 1,964,943 5,894,830 2,947,415 8,842,246 4,421,123 13,263,370 6,631,685 19,895,056 9,947,528 4,973,764 2,486,882 1,243,441 3,730,324 1,865,162 932,581 2,797,744 1,398,872 699,436 349,718 174,859 524,578 262,289 786,868 393,434 196,717 590,152 295,076 147,538 73,769 221,308 110,654 55,327 165,982 82,991 248,974 124,487 373,462 186,731 560,194 280,097 840,292 420,146 210,073 630,220 315,110 157,555 472,666 236,333 709,000 354,500 177,250 88,625 265,876 132,938 66,469 199,408 99,704 49,852 24,926

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