8,251,299

3² × 7 × 130973

Starting at 8,251,299, the Collatz iteration reaches 1 after 106 steps. The first transition is 24753898; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 130973

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,621,296

Proper Divisor Sum 5,369,997

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8251289 ← → #8251337

Radix Representation

Decimal	8251299
Binary	11111011110011110100011 (23 bits)
Octal	0o37363643
Hexadecimal	0x7DE7A3

Divisor Catalog (12)

1 3 7 9 21 63 130,973 392,919 916,811 1,178,757 2,750,433 8,251,299

Collatz Trajectory (106 steps to reach 1)

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

8,251,299 24,753,898 12,376,949 37,130,848 18,565,424 9,282,712 4,641,356 2,320,678 1,160,339 3,481,018 1,740,509 5,221,528 2,610,764 1,305,382 652,691 1,958,074 979,037 2,937,112 1,468,556 734,278 367,139 1,101,418 550,709 1,652,128 826,064 413,032 206,516 103,258 51,629 154,888 77,444 38,722 19,361 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728

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