8,144,289

3² × 31 × 29191

Starting at 8,144,289, the Collatz iteration reaches 1 after 230 steps. The first transition is 24432868; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 31 × 29191

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,143,872

Proper Divisor Sum 3,999,583

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8144267 ← → #8144291

Radix Representation

Decimal	8144289
Binary	11111000100010110100001 (23 bits)
Octal	0o37042641
Hexadecimal	0x7C45A1

Divisor Catalog (12)

1 3 9 31 93 279 29,191 87,573 262,719 904,921 2,714,763 8,144,289

Collatz Trajectory (230 steps to reach 1)

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

8,144,289 24,432,868 12,216,434 6,108,217 18,324,652 9,162,326 4,581,163 13,743,490 6,871,745 20,615,236 10,307,618 5,153,809 15,461,428 7,730,714 3,865,357 11,596,072 5,798,036 2,899,018 1,449,509 4,348,528 2,174,264 1,087,132 543,566 271,783 815,350 407,675 1,223,026 611,513 1,834,540 917,270 458,635 1,375,906 687,953 2,063,860 1,031,930 515,965 1,547,896 773,948 386,974 193,487 580,462 290,231 870,694 435,347 1,306,042 653,021 1,959,064 979,532 489,766 244,883 734,650 367,325 1,101,976 550,988 275,494 137,747 413,242 206,621 619,864 309,932

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