8,409,896

2³ × 11 × 227 × 421

Starting at 8,409,896, the Collatz iteration reaches 1 after 106 steps. The first transition is 4204948; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 227 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,318,880

Proper Divisor Sum 8,908,984

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #8409889 ← → #8409899

Radix Representation

Decimal	8409896
Binary	100000000101001100101000 (24 bits)
Octal	0o40051450
Hexadecimal	0x805328

Divisor Catalog (32)

1 2 4 8 11 22 44 88 227 421 454 842 908 1,684 1,816 2,497 3,368 4,631 4,994 9,262 9,988 18,524 19,976 37,048 95,567 191,134 382,268 764,536 1,051,237 2,102,474 4,204,948 8,409,896

Collatz Trajectory (106 steps to reach 1)

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

8,409,896 4,204,948 2,102,474 1,051,237 3,153,712 1,576,856 788,428 394,214 197,107 591,322 295,661 886,984 443,492 221,746 110,873 332,620 166,310 83,155 249,466 124,733 374,200 187,100 93,550 46,775 140,326 70,163 210,490 105,245 315,736 157,868 78,934 39,467 118,402 59,201 177,604 88,802 44,401 133,204 66,602 33,301 99,904 49,952 24,976 12,488 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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