8,643,123

3² × 17² × 3323

Starting at 8,643,123, the Collatz iteration reaches 1 after 93 steps. The first transition is 25929370; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17^2 × 3323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,266,084

Proper Divisor Sum 4,622,961

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8643121 ← → #8643133

Radix Representation

Decimal	8643123
Binary	100000111110001000110011 (24 bits)
Octal	0o40761063
Hexadecimal	0x83E233

Divisor Catalog (18)

1 3 9 17 51 153 289 867 2,601 3,323 9,969 29,907 56,491 169,473 508,419 960,347 2,881,041 8,643,123

Collatz Trajectory (93 steps to reach 1)

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

8,643,123 25,929,370 12,964,685 38,894,056 19,447,028 9,723,514 4,861,757 14,585,272 7,292,636 3,646,318 1,823,159 5,469,478 2,734,739 8,204,218 4,102,109 12,306,328 6,153,164 3,076,582 1,538,291 4,614,874 2,307,437 6,922,312 3,461,156 1,730,578 865,289 2,595,868 1,297,934 648,967 1,946,902 973,451 2,920,354 1,460,177 4,380,532 2,190,266 1,095,133 3,285,400 1,642,700 821,350 410,675 1,232,026 616,013 1,848,040 924,020 462,010 231,005 693,016 346,508 173,254 86,627 259,882 129,941 389,824 194,912 97,456 48,728 24,364 12,182 6,091 18,274 9,137

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