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5,221,590

2 × 3 × 5 × 11 × 15823
Abundant Even Composite

5,221,590 factors as 2 × 3 × 5 × 11 × 15823. Its 32 positive divisors give a proper-divisor sum of 8,450,346, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 15823
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,671,936
Proper Divisor Sum 8,450,346
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5221583 ← → #5221591

Radix Representation

Decimal 5221590
Binary 10011111010110011010110 (23 bits)
Octal 0o23726326
Hexadecimal 0x4FACD6

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 15,823 31,646 47,469 79,115 94,938 158,230 174,053 237,345 348,106 474,690 522,159 870,265 1,044,318 1,740,530 2,610,795 5,221,590

Collatz Trajectory (201 steps to reach 1)

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

5,221,590 2,610,795 7,832,386 3,916,193 11,748,580 5,874,290 2,937,145 8,811,436 4,405,718 2,202,859 6,608,578 3,304,289 9,912,868 4,956,434 2,478,217 7,434,652 3,717,326 1,858,663 5,575,990 2,787,995 8,363,986 4,181,993 12,545,980 6,272,990 3,136,495 9,409,486 4,704,743 14,114,230 7,057,115 21,171,346 10,585,673 31,757,020 15,878,510 7,939,255 23,817,766 11,908,883 35,726,650 17,863,325 53,589,976 26,794,988 13,397,494 6,698,747 20,096,242 10,048,121 30,144,364 15,072,182 7,536,091 22,608,274 11,304,137 33,912,412 16,956,206 8,478,103 25,434,310 12,717,155 38,151,466 19,075,733 57,227,200 28,613,600 14,306,800 7,153,400

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