λ
Math Directory

5,869,284

22 × 3 × 17 × 28771
Abundant Even Composite

5,869,284 factors as 2^2 × 3 × 17 × 28771. Its 24 positive divisors give a proper-divisor sum of 8,631,804, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 28771
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,501,088
Proper Divisor Sum 8,631,804
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5869277 ← → #5869289

Radix Representation

Decimal 5869284
Binary 10110011000111011100100 (23 bits)
Octal 0o26307344
Hexadecimal 0x598EE4

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 28,771 57,542 86,313 115,084 172,626 345,252 489,107 978,214 1,467,321 1,956,428 2,934,642 5,869,284

Collatz Trajectory (214 steps to reach 1)

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

5,869,284 2,934,642 1,467,321 4,401,964 2,200,982 1,100,491 3,301,474 1,650,737 4,952,212 2,476,106 1,238,053 3,714,160 1,857,080 928,540 464,270 232,135 696,406 348,203 1,044,610 522,305 1,566,916 783,458 391,729 1,175,188 587,594 293,797 881,392 440,696 220,348 110,174 55,087 165,262 82,631 247,894 123,947 371,842 185,921 557,764 278,882 139,441 418,324 209,162 104,581 313,744 156,872 78,436 39,218 19,609 58,828 29,414 14,707 44,122 22,061 66,184 33,092 16,546 8,273 24,820 12,410 6,205

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