9,365,634

2 × 3² × 520313

Starting at 9,365,634, the Collatz iteration reaches 1 after 225 steps. The first transition is 4682817; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 520313

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,292,246

Proper Divisor Sum 10,926,612

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9365621 ← → #9365659

Radix Representation

Decimal	9365634
Binary	100011101110100010000010 (24 bits)
Octal	0o43564202
Hexadecimal	0x8EE882

Divisor Catalog (12)

1 2 3 6 9 18 520,313 1,040,626 1,560,939 3,121,878 4,682,817 9,365,634

Collatz Trajectory (225 steps to reach 1)

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

9,365,634 4,682,817 14,048,452 7,024,226 3,512,113 10,536,340 5,268,170 2,634,085 7,902,256 3,951,128 1,975,564 987,782 493,891 1,481,674 740,837 2,222,512 1,111,256 555,628 277,814 138,907 416,722 208,361 625,084 312,542 156,271 468,814 234,407 703,222 351,611 1,054,834 527,417 1,582,252 791,126 395,563 1,186,690 593,345 1,780,036 890,018 445,009 1,335,028 667,514 333,757 1,001,272 500,636 250,318 125,159 375,478 187,739 563,218 281,609 844,828 422,414 211,207 633,622 316,811 950,434 475,217 1,425,652 712,826 356,413

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