8,518,959

3³ × 315517

Starting at 8,518,959, the Collatz iteration reaches 1 after 243 steps. The first transition is 25556878; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 315517

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,620,720

Proper Divisor Sum 4,101,761

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8518933 ← → #8518963

Radix Representation

Decimal	8518959
Binary	100000011111110100101111 (24 bits)
Octal	0o40376457
Hexadecimal	0x81FD2F

Divisor Catalog (8)

1 3 9 27 315,517 946,551 2,839,653 8,518,959

Collatz Trajectory (243 steps to reach 1)

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

8,518,959 25,556,878 12,778,439 38,335,318 19,167,659 57,502,978 28,751,489 86,254,468 43,127,234 21,563,617 64,690,852 32,345,426 16,172,713 48,518,140 24,259,070 12,129,535 36,388,606 18,194,303 54,582,910 27,291,455 81,874,366 40,937,183 122,811,550 61,405,775 184,217,326 92,108,663 276,325,990 138,162,995 414,488,986 207,244,493 621,733,480 310,866,740 155,433,370 77,716,685 233,150,056 116,575,028 58,287,514 29,143,757 87,431,272 43,715,636 21,857,818 10,928,909 32,786,728 16,393,364 8,196,682 4,098,341 12,295,024 6,147,512 3,073,756 1,536,878 768,439 2,305,318 1,152,659 3,457,978 1,728,989 5,186,968 2,593,484 1,296,742 648,371 1,945,114

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