8,408,838

2 × 3 × 173 × 8101

Starting at 8,408,838, the Collatz iteration reaches 1 after 106 steps. The first transition is 4204419; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 173 × 8101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,916,976

Proper Divisor Sum 8,508,138

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8408837 ← → #8408867

Radix Representation

Decimal	8408838
Binary	100000000100111100000110 (24 bits)
Octal	0o40047406
Hexadecimal	0x804F06

Divisor Catalog (16)

1 2 3 6 173 346 519 1,038 8,101 16,202 24,303 48,606 1,401,473 2,802,946 4,204,419 8,408,838

Collatz Trajectory (106 steps to reach 1)

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

8,408,838 4,204,419 12,613,258 6,306,629 18,919,888 9,459,944 4,729,972 2,364,986 1,182,493 3,547,480 1,773,740 886,870 443,435 1,330,306 665,153 1,995,460 997,730 498,865 1,496,596 748,298 374,149 1,122,448 561,224 280,612 140,306 70,153 210,460 105,230 52,615 157,846 78,923 236,770 118,385 355,156 177,578 88,789 266,368 133,184 66,592 33,296 16,648 8,324 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484

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