9,608,940

2² × 3² × 5 × 11 × 23 × 211

Starting at 9,608,940, the Collatz iteration reaches 1 after 150 steps. The first transition is 4804470; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 11 × 23 × 211

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 33,336,576

Proper Divisor Sum 23,727,636

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9608933 ← → #9608941

Radix Representation

Decimal	9608940
Binary	100100101001111011101100 (24 bits)
Octal	0o44517354
Hexadecimal	0x929EEC

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 211 220 230 253 276 330 345 396 414 422 460 495 506 633 660 690 759 828 844 990 1,012 1,035 1,055 1,265

Collatz Trajectory (150 steps to reach 1)

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

9,608,940 4,804,470 2,402,235 7,206,706 3,603,353 10,810,060 5,405,030 2,702,515 8,107,546 4,053,773 12,161,320 6,080,660 3,040,330 1,520,165 4,560,496 2,280,248 1,140,124 570,062 285,031 855,094 427,547 1,282,642 641,321 1,923,964 961,982 480,991 1,442,974 721,487 2,164,462 1,082,231 3,246,694 1,623,347 4,870,042 2,435,021 7,305,064 3,652,532 1,826,266 913,133 2,739,400 1,369,700 684,850 342,425 1,027,276 513,638 256,819 770,458 385,229 1,155,688 577,844 288,922 144,461 433,384 216,692 108,346 54,173 162,520 81,260 40,630 20,315 60,946

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