6,735,798

2 × 3⁴ × 41579

Starting at 6,735,798, the Collatz iteration reaches 1 after 209 steps. The first transition is 3367899; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 41579

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,093,540

Proper Divisor Sum 8,357,742

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6735763 ← → #6735811

Radix Representation

Decimal	6735798
Binary	11001101100011110110110 (23 bits)
Octal	0o31543666
Hexadecimal	0x66C7B6

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 41,579 83,158 124,737 249,474 374,211 748,422 1,122,633 2,245,266 3,367,899 6,735,798

Collatz Trajectory (209 steps to reach 1)

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

6,735,798 3,367,899 10,103,698 5,051,849 15,155,548 7,577,774 3,788,887 11,366,662 5,683,331 17,049,994 8,524,997 25,574,992 12,787,496 6,393,748 3,196,874 1,598,437 4,795,312 2,397,656 1,198,828 599,414 299,707 899,122 449,561 1,348,684 674,342 337,171 1,011,514 505,757 1,517,272 758,636 379,318 189,659 568,978 284,489 853,468 426,734 213,367 640,102 320,051 960,154 480,077 1,440,232 720,116 360,058 180,029 540,088 270,044 135,022 67,511 202,534 101,267 303,802 151,901 455,704 227,852 113,926 56,963 170,890 85,445 256,336

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