9,098,109

3³ × 211 × 1597

Starting at 9,098,109, the Collatz iteration reaches 1 after 137 steps. The first transition is 27294328; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 211 × 1597

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,551,040

Proper Divisor Sum 4,452,931

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9098107 ← → #9098113

Radix Representation

Decimal	9098109
Binary	100010101101001101111101 (24 bits)
Octal	0o42551575
Hexadecimal	0x8AD37D

Divisor Catalog (16)

1 3 9 27 211 633 1,597 1,899 4,791 5,697 14,373 43,119 336,967 1,010,901 3,032,703 9,098,109

Collatz Trajectory (137 steps to reach 1)

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

9,098,109 27,294,328 13,647,164 6,823,582 3,411,791 10,235,374 5,117,687 15,353,062 7,676,531 23,029,594 11,514,797 34,544,392 17,272,196 8,636,098 4,318,049 12,954,148 6,477,074 3,238,537 9,715,612 4,857,806 2,428,903 7,286,710 3,643,355 10,930,066 5,465,033 16,395,100 8,197,550 4,098,775 12,296,326 6,148,163 18,444,490 9,222,245 27,666,736 13,833,368 6,916,684 3,458,342 1,729,171 5,187,514 2,593,757 7,781,272 3,890,636 1,945,318 972,659 2,917,978 1,458,989 4,376,968 2,188,484 1,094,242 547,121 1,641,364 820,682 410,341 1,231,024 615,512 307,756 153,878 76,939 230,818 115,409 346,228

← Previous Integer #9,098,108 Browse Full Index Next Integer #9,098,110 →