9,168,390

2 × 3⁵ × 5 × 7³ × 11

Starting at 9,168,390, the Collatz iteration reaches 1 after 132 steps. The first transition is 4584195; the starting value is even with 192 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^5 × 5 × 7^3 × 11

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 31,449,600

Proper Divisor Sum 22,281,210

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9168371 ← → #9168391

Radix Representation

Decimal	9168390
Binary	100010111110011000000110 (24 bits)
Octal	0o42763006
Hexadecimal	0x8BE606

Divisor Catalog (60 of 192)

1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 49 54 55 63 66 70 77 81 90 98 99 105 110 126 135 147 154 162 165 189 198 210 231 243 245 270 294 297 315 330 343 378 385 405 441 462 486 490 495 539

Collatz Trajectory (132 steps to reach 1)

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

9,168,390 4,584,195 13,752,586 6,876,293 20,628,880 10,314,440 5,157,220 2,578,610 1,289,305 3,867,916 1,933,958 966,979 2,900,938 1,450,469 4,351,408 2,175,704 1,087,852 543,926 271,963 815,890 407,945 1,223,836 611,918 305,959 917,878 458,939 1,376,818 688,409 2,065,228 1,032,614 516,307 1,548,922 774,461 2,323,384 1,161,692 580,846 290,423 871,270 435,635 1,306,906 653,453 1,960,360 980,180 490,090 245,045 735,136 367,568 183,784 91,892 45,946 22,973 68,920 34,460 17,230 8,615 25,846 12,923 38,770 19,385 58,156

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