9,786,879

3³ × 131 × 2767

Starting at 9,786,879, the Collatz iteration reaches 1 after 181 steps. The first transition is 29360638; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 131 × 2767

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,615,040

Proper Divisor Sum 4,828,161

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #9786877 ← → #9786893

Radix Representation

Decimal	9786879
Binary	100101010101010111111111 (24 bits)
Octal	0o45252777
Hexadecimal	0x9555FF

Divisor Catalog (16)

1 3 9 27 131 393 1,179 2,767 3,537 8,301 24,903 74,709 362,477 1,087,431 3,262,293 9,786,879

Collatz Trajectory (181 steps to reach 1)

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

9,786,879 29,360,638 14,680,319 44,040,958 22,020,479 66,061,438 33,030,719 99,092,158 49,546,079 148,638,238 74,319,119 222,957,358 111,478,679 334,436,038 167,218,019 501,654,058 250,827,029 752,481,088 376,240,544 188,120,272 94,060,136 47,030,068 23,515,034 11,757,517 35,272,552 17,636,276 8,818,138 4,409,069 13,227,208 6,613,604 3,306,802 1,653,401 4,960,204 2,480,102 1,240,051 3,720,154 1,860,077 5,580,232 2,790,116 1,395,058 697,529 2,092,588 1,046,294 523,147 1,569,442 784,721 2,354,164 1,177,082 588,541 1,765,624 882,812 441,406 220,703 662,110 331,055 993,166 496,583 1,489,750 744,875 2,234,626

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