9,991,089

3² × 503 × 2207

Starting at 9,991,089, the Collatz iteration reaches 1 after 163 steps. The first transition is 29973268; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 503 × 2207

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,466,816

Proper Divisor Sum 4,475,727

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9991067 ← → #9991123

Radix Representation

Decimal	9991089
Binary	100110000111001110110001 (24 bits)
Octal	0o46071661
Hexadecimal	0x9873B1

Divisor Catalog (12)

1 3 9 503 1,509 2,207 4,527 6,621 19,863 1,110,121 3,330,363 9,991,089

Collatz Trajectory (163 steps to reach 1)

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

9,991,089 29,973,268 14,986,634 7,493,317 22,479,952 11,239,976 5,619,988 2,809,994 1,404,997 4,214,992 2,107,496 1,053,748 526,874 263,437 790,312 395,156 197,578 98,789 296,368 148,184 74,092 37,046 18,523 55,570 27,785 83,356 41,678 20,839 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564

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