9,338,130

2 × 3² × 5 × 31 × 3347

Starting at 9,338,130, the Collatz iteration reaches 1 after 269 steps. The first transition is 4669065; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 31 × 3347

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 25,069,824

Proper Divisor Sum 15,731,694

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9338111 ← → #9338137

Radix Representation

Decimal	9338130
Binary	100011100111110100010010 (24 bits)
Octal	0o43476422
Hexadecimal	0x8E7D12

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1,395 2,790 3,347 6,694 10,041 16,735 20,082 30,123 33,470 50,205 60,246 100,410 103,757 150,615 207,514 301,230 311,271 518,785 622,542 933,813 1,037,570 1,556,355 1,867,626 3,112,710 4,669,065 9,338,130

Collatz Trajectory (269 steps to reach 1)

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

9,338,130 4,669,065 14,007,196 7,003,598 3,501,799 10,505,398 5,252,699 15,758,098 7,879,049 23,637,148 11,818,574 5,909,287 17,727,862 8,863,931 26,591,794 13,295,897 39,887,692 19,943,846 9,971,923 29,915,770 14,957,885 44,873,656 22,436,828 11,218,414 5,609,207 16,827,622 8,413,811 25,241,434 12,620,717 37,862,152 18,931,076 9,465,538 4,732,769 14,198,308 7,099,154 3,549,577 10,648,732 5,324,366 2,662,183 7,986,550 3,993,275 11,979,826 5,989,913 17,969,740 8,984,870 4,492,435 13,477,306 6,738,653 20,215,960 10,107,980 5,053,990 2,526,995 7,580,986 3,790,493 11,371,480 5,685,740 2,842,870 1,421,435 4,264,306 2,132,153

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