λ
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5,259,474

2 × 32 × 11 × 101 × 263
Abundant Even Composite

5,259,474 factors as 2 × 3^2 × 11 × 101 × 263. Its 48 positive divisors give a proper-divisor sum of 7,342,830, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 101 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,602,304
Proper Divisor Sum 7,342,830
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5259473 ← → #5259487

Radix Representation

Decimal 5259474
Binary 10100000100000011010010 (23 bits)
Octal 0o24040322
Hexadecimal 0x5040D2

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 99 101 198 202 263 303 526 606 789 909 1,111 1,578 1,818 2,222 2,367 2,893 3,333 4,734 5,786 6,666 8,679 9,999 17,358 19,998 26,037 26,563 52,074 53,126 79,689 159,378 239,067 292,193 478,134 584,386 876,579 1,753,158 2,629,737 5,259,474

Collatz Trajectory (69 steps to reach 1)

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

5,259,474 2,629,737 7,889,212 3,944,606 1,972,303 5,916,910 2,958,455 8,875,366 4,437,683 13,313,050 6,656,525 19,969,576 9,984,788 4,992,394 2,496,197 7,488,592 3,744,296 1,872,148 936,074 468,037 1,404,112 702,056 351,028 175,514 87,757 263,272 131,636 65,818 32,909 98,728 49,364 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160

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