9,981,771

3 × 17² × 29 × 397

Starting at 9,981,771, the Collatz iteration reaches 1 after 114 steps. The first transition is 29945314; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 17^2 × 29 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,662,320

Proper Divisor Sum 4,680,549

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9981739 ← → #9981779

Radix Representation

Decimal	9981771
Binary	100110000100111101001011 (24 bits)
Octal	0o46047513
Hexadecimal	0x984F4B

Divisor Catalog (24)

1 3 17 29 51 87 289 397 493 867 1,191 1,479 6,749 8,381 11,513 20,247 25,143 34,539 114,733 195,721 344,199 587,163 3,327,257 9,981,771

Collatz Trajectory (114 steps to reach 1)

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

9,981,771 29,945,314 14,972,657 44,917,972 22,458,986 11,229,493 33,688,480 16,844,240 8,422,120 4,211,060 2,105,530 1,052,765 3,158,296 1,579,148 789,574 394,787 1,184,362 592,181 1,776,544 888,272 444,136 222,068 111,034 55,517 166,552 83,276 41,638 20,819 62,458 31,229 93,688 46,844 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317

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