6,097,125

3 × 5³ × 71 × 229

Starting at 6,097,125, the Collatz iteration reaches 1 after 183 steps. The first transition is 18291376; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^3 × 71 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,333,440

Proper Divisor Sum 4,236,315

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6097121 ← → #6097127

Radix Representation

Decimal	6097125
Binary	10111010000100011100101 (23 bits)
Octal	0o27204345
Hexadecimal	0x5D08E5

Divisor Catalog (32)

1 3 5 15 25 71 75 125 213 229 355 375 687 1,065 1,145 1,775 3,435 5,325 5,725 8,875 16,259 17,175 26,625 28,625 48,777 81,295 85,875 243,885 406,475 1,219,425 2,032,375 6,097,125

Collatz Trajectory (183 steps to reach 1)

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

6,097,125 18,291,376 9,145,688 4,572,844 2,286,422 1,143,211 3,429,634 1,714,817 5,144,452 2,572,226 1,286,113 3,858,340 1,929,170 964,585 2,893,756 1,446,878 723,439 2,170,318 1,085,159 3,255,478 1,627,739 4,883,218 2,441,609 7,324,828 3,662,414 1,831,207 5,493,622 2,746,811 8,240,434 4,120,217 12,360,652 6,180,326 3,090,163 9,270,490 4,635,245 13,905,736 6,952,868 3,476,434 1,738,217 5,214,652 2,607,326 1,303,663 3,910,990 1,955,495 5,866,486 2,933,243 8,799,730 4,399,865 13,199,596 6,599,798 3,299,899 9,899,698 4,949,849 14,849,548 7,424,774 3,712,387 11,137,162 5,568,581 16,705,744 8,352,872

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