6,172,342

2 × 11 × 280561

Starting at 6,172,342, the Collatz iteration reaches 1 after 258 steps. The first transition is 3086171; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 280561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,100,232

Proper Divisor Sum 3,927,890

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6172337 ← → #6172363

Radix Representation

Decimal	6172342
Binary	10111100010111010110110 (23 bits)
Octal	0o27427266
Hexadecimal	0x5E2EB6

Divisor Catalog (8)

1 2 11 22 280,561 561,122 3,086,171 6,172,342

Collatz Trajectory (258 steps to reach 1)

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

6,172,342 3,086,171 9,258,514 4,629,257 13,887,772 6,943,886 3,471,943 10,415,830 5,207,915 15,623,746 7,811,873 23,435,620 11,717,810 5,858,905 17,576,716 8,788,358 4,394,179 13,182,538 6,591,269 19,773,808 9,886,904 4,943,452 2,471,726 1,235,863 3,707,590 1,853,795 5,561,386 2,780,693 8,342,080 4,171,040 2,085,520 1,042,760 521,380 260,690 130,345 391,036 195,518 97,759 293,278 146,639 439,918 219,959 659,878 329,939 989,818 494,909 1,484,728 742,364 371,182 185,591 556,774 278,387 835,162 417,581 1,252,744 626,372 313,186 156,593 469,780 234,890

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