3,868,434

2 × 3² × 214913

Starting at 3,868,434, the Collatz iteration reaches 1 after 247 steps. The first transition is 1934217; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 214913

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,381,646

Proper Divisor Sum 4,513,212

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3868427 ← → #3868441

Radix Representation

Decimal	3868434
Binary	1110110000011100010010 (22 bits)
Octal	0o16603422
Hexadecimal	0x3B0712

Divisor Catalog (12)

1 2 3 6 9 18 214,913 429,826 644,739 1,289,478 1,934,217 3,868,434

Collatz Trajectory (247 steps to reach 1)

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

3,868,434 1,934,217 5,802,652 2,901,326 1,450,663 4,351,990 2,175,995 6,527,986 3,263,993 9,791,980 4,895,990 2,447,995 7,343,986 3,671,993 11,015,980 5,507,990 2,753,995 8,261,986 4,130,993 12,392,980 6,196,490 3,098,245 9,294,736 4,647,368 2,323,684 1,161,842 580,921 1,742,764 871,382 435,691 1,307,074 653,537 1,960,612 980,306 490,153 1,470,460 735,230 367,615 1,102,846 551,423 1,654,270 827,135 2,481,406 1,240,703 3,722,110 1,861,055 5,583,166 2,791,583 8,374,750 4,187,375 12,562,126 6,281,063 18,843,190 9,421,595 28,264,786 14,132,393 42,397,180 21,198,590 10,599,295 31,797,886

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