8,371,191

3 × 17 × 19 × 53 × 163

Starting at 8,371,191, the Collatz iteration reaches 1 after 199 steps. The first transition is 25113574; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 19 × 53 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,752,640

Proper Divisor Sum 4,381,449

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8371159 ← → #8371193

Radix Representation

Decimal	8371191
Binary	11111111011101111110111 (23 bits)
Octal	0o37735767
Hexadecimal	0x7FBBF7

Divisor Catalog (32)

1 3 17 19 51 53 57 159 163 323 489 901 969 1,007 2,703 2,771 3,021 3,097 8,313 8,639 9,291 17,119 25,917 51,357 52,649 146,863 157,947 164,141 440,589 492,423 2,790,397 8,371,191

Collatz Trajectory (199 steps to reach 1)

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

8,371,191 25,113,574 12,556,787 37,670,362 18,835,181 56,505,544 28,252,772 14,126,386 7,063,193 21,189,580 10,594,790 5,297,395 15,892,186 7,946,093 23,838,280 11,919,140 5,959,570 2,979,785 8,939,356 4,469,678 2,234,839 6,704,518 3,352,259 10,056,778 5,028,389 15,085,168 7,542,584 3,771,292 1,885,646 942,823 2,828,470 1,414,235 4,242,706 2,121,353 6,364,060 3,182,030 1,591,015 4,773,046 2,386,523 7,159,570 3,579,785 10,739,356 5,369,678 2,684,839 8,054,518 4,027,259 12,081,778 6,040,889 18,122,668 9,061,334 4,530,667 13,592,002 6,796,001 20,388,004 10,194,002 5,097,001 15,291,004 7,645,502 3,822,751 11,468,254

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