8,638,038

2 × 3² × 479891

Starting at 8,638,038, the Collatz iteration reaches 1 after 212 steps. The first transition is 4319019; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 479891

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,715,788

Proper Divisor Sum 10,077,750

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8638033 ← → #8638039

Radix Representation

Decimal	8638038
Binary	100000111100111001010110 (24 bits)
Octal	0o40747126
Hexadecimal	0x83CE56

Divisor Catalog (12)

1 2 3 6 9 18 479,891 959,782 1,439,673 2,879,346 4,319,019 8,638,038

Collatz Trajectory (212 steps to reach 1)

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

8,638,038 4,319,019 12,957,058 6,478,529 19,435,588 9,717,794 4,858,897 14,576,692 7,288,346 3,644,173 10,932,520 5,466,260 2,733,130 1,366,565 4,099,696 2,049,848 1,024,924 512,462 256,231 768,694 384,347 1,153,042 576,521 1,729,564 864,782 432,391 1,297,174 648,587 1,945,762 972,881 2,918,644 1,459,322 729,661 2,188,984 1,094,492 547,246 273,623 820,870 410,435 1,231,306 615,653 1,846,960 923,480 461,740 230,870 115,435 346,306 173,153 519,460 259,730 129,865 389,596 194,798 97,399 292,198 146,099 438,298 219,149 657,448 328,724

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