λ
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5,117,412

22 × 3 × 61 × 6991
Abundant Even Composite

5,117,412 factors as 2^2 × 3 × 61 × 6991. Its 24 positive divisors give a proper-divisor sum of 7,020,700, so this integer is abundant. The Collatz stopping time is 312 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 61 × 6991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,138,112
Proper Divisor Sum 7,020,700
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5117401 ← → #5117419

Radix Representation

Decimal 5117412
Binary 10011100001010111100100 (23 bits)
Octal 0o23412744
Hexadecimal 0x4E15E4

Divisor Catalog (24)

1 2 3 4 6 12 61 122 183 244 366 732 6,991 13,982 20,973 27,964 41,946 83,892 426,451 852,902 1,279,353 1,705,804 2,558,706 5,117,412

Collatz Trajectory (312 steps to reach 1)

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

5,117,412 2,558,706 1,279,353 3,838,060 1,919,030 959,515 2,878,546 1,439,273 4,317,820 2,158,910 1,079,455 3,238,366 1,619,183 4,857,550 2,428,775 7,286,326 3,643,163 10,929,490 5,464,745 16,394,236 8,197,118 4,098,559 12,295,678 6,147,839 18,443,518 9,221,759 27,665,278 13,832,639 41,497,918 20,748,959 62,246,878 31,123,439 93,370,318 46,685,159 140,055,478 70,027,739 210,083,218 105,041,609 315,124,828 157,562,414 78,781,207 236,343,622 118,171,811 354,515,434 177,257,717 531,773,152 265,886,576 132,943,288 66,471,644 33,235,822 16,617,911 49,853,734 24,926,867 74,780,602 37,390,301 112,170,904 56,085,452 28,042,726 14,021,363 42,064,090

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