6,638,022

2 × 3² × 37 × 9967

Starting at 6,638,022, the Collatz iteration reaches 1 after 116 steps. The first transition is 3319011; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 37 × 9967

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,772,576

Proper Divisor Sum 8,134,554

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6638017 ← → #6638029

Radix Representation

Decimal	6638022
Binary	11001010100100111000110 (23 bits)
Octal	0o31244706
Hexadecimal	0x6549C6

Divisor Catalog (24)

1 2 3 6 9 18 37 74 111 222 333 666 9,967 19,934 29,901 59,802 89,703 179,406 368,779 737,558 1,106,337 2,212,674 3,319,011 6,638,022

Collatz Trajectory (116 steps to reach 1)

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

6,638,022 3,319,011 9,957,034 4,978,517 14,935,552 7,467,776 3,733,888 1,866,944 933,472 466,736 233,368 116,684 58,342 29,171 87,514 43,757 131,272 65,636 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171

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