6,863,226

2 × 3 × 457 × 2503

Starting at 6,863,226, the Collatz iteration reaches 1 after 240 steps. The first transition is 3431613; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 457 × 2503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,761,984

Proper Divisor Sum 6,898,758

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6863173 ← → #6863243

Radix Representation

Decimal	6863226
Binary	11010001011100101111010 (23 bits)
Octal	0o32134572
Hexadecimal	0x68B97A

Divisor Catalog (16)

1 2 3 6 457 914 1,371 2,503 2,742 5,006 7,509 15,018 1,143,871 2,287,742 3,431,613 6,863,226

Collatz Trajectory (240 steps to reach 1)

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

6,863,226 3,431,613 10,294,840 5,147,420 2,573,710 1,286,855 3,860,566 1,930,283 5,790,850 2,895,425 8,686,276 4,343,138 2,171,569 6,514,708 3,257,354 1,628,677 4,886,032 2,443,016 1,221,508 610,754 305,377 916,132 458,066 229,033 687,100 343,550 171,775 515,326 257,663 772,990 386,495 1,159,486 579,743 1,739,230 869,615 2,608,846 1,304,423 3,913,270 1,956,635 5,869,906 2,934,953 8,804,860 4,402,430 2,201,215 6,603,646 3,301,823 9,905,470 4,952,735 14,858,206 7,429,103 22,287,310 11,143,655 33,430,966 16,715,483 50,146,450 25,073,225 75,219,676 37,609,838 18,804,919 56,414,758

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