8,971,065

3² × 5 × 199357

Starting at 8,971,065, the Collatz iteration reaches 1 after 111 steps. The first transition is 26913196; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 199357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,549,924

Proper Divisor Sum 6,578,859

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8971049 ← → #8971091

Radix Representation

Decimal	8971065
Binary	100010001110001100111001 (24 bits)
Octal	0o42161471
Hexadecimal	0x88E339

Divisor Catalog (12)

1 3 5 9 15 45 199,357 598,071 996,785 1,794,213 2,990,355 8,971,065

Collatz Trajectory (111 steps to reach 1)

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

8,971,065 26,913,196 13,456,598 6,728,299 20,184,898 10,092,449 30,277,348 15,138,674 7,569,337 22,708,012 11,354,006 5,677,003 17,031,010 8,515,505 25,546,516 12,773,258 6,386,629 19,159,888 9,579,944 4,789,972 2,394,986 1,197,493 3,592,480 1,796,240 898,120 449,060 224,530 112,265 336,796 168,398 84,199 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394 319,697 959,092 479,546 239,773 719,320 359,660 179,830 89,915 269,746 134,873 404,620 202,310 101,155 303,466 151,733 455,200 227,600 113,800 56,900

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