6,332,085

3² × 5 × 223 × 631

Starting at 6,332,085, the Collatz iteration reaches 1 after 165 steps. The first transition is 18996256; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 223 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,042,304

Proper Divisor Sum 4,710,219

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6332077 ← → #6332089

Radix Representation

Decimal	6332085
Binary	11000001001111010110101 (23 bits)
Octal	0o30117265
Hexadecimal	0x609EB5

Divisor Catalog (24)

1 3 5 9 15 45 223 631 669 1,115 1,893 2,007 3,155 3,345 5,679 9,465 10,035 28,395 140,713 422,139 703,565 1,266,417 2,110,695 6,332,085

Collatz Trajectory (165 steps to reach 1)

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

6,332,085 18,996,256 9,498,128 4,749,064 2,374,532 1,187,266 593,633 1,780,900 890,450 445,225 1,335,676 667,838 333,919 1,001,758 500,879 1,502,638 751,319 2,253,958 1,126,979 3,380,938 1,690,469 5,071,408 2,535,704 1,267,852 633,926 316,963 950,890 475,445 1,426,336 713,168 356,584 178,292 89,146 44,573 133,720 66,860 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31

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