597,186

2 × 3³ × 11059

Starting at 597,186, the Collatz iteration reaches 1 after 128 steps. The first transition is 298593; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 11059

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,327,200

Proper Divisor Sum 730,014

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #597169 ← → #597209

Radix Representation

Decimal	597186
Binary	10010001110011000010 (20 bits)
Octal	0o2216302
Hexadecimal	0x91CC2

Divisor Catalog (16)

1 2 3 6 9 18 27 54 11,059 22,118 33,177 66,354 99,531 199,062 298,593 597,186

Collatz Trajectory (128 steps to reach 1)

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

597,186 298,593 895,780 447,890 223,945 671,836 335,918 167,959 503,878 251,939 755,818 377,909 1,133,728 566,864 283,432 141,716 70,858 35,429 106,288 53,144 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760

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