3,993,060

2² × 3 × 5 × 61 × 1091

3,993,060 has digital root 3. The neighboring primes are 3993049 and 3993071; its proper-divisor sum differs from the starting integer by 3,388,152.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 61 × 1091

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,374,272

Proper Divisor Sum 7,381,212

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3993049 ← → #3993071

Radix Representation

Decimal	3993060
Binary	1111001110110111100100 (22 bits)
Octal	0o17166744
Hexadecimal	0x3CEDE4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1,091 1,220 1,830 2,182 3,273 3,660 4,364 5,455 6,546 10,910 13,092 16,365 21,820 32,730 65,460 66,551 133,102 199,653 266,204 332,755 399,306 665,510 798,612 998,265 1,331,020 1,996,530 3,993,060

Collatz Trajectory (216 steps to reach 1)

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

3,993,060 1,996,530 998,265 2,994,796 1,497,398 748,699 2,246,098 1,123,049 3,369,148 1,684,574 842,287 2,526,862 1,263,431 3,790,294 1,895,147 5,685,442 2,842,721 8,528,164 4,264,082 2,132,041 6,396,124 3,198,062 1,599,031 4,797,094 2,398,547 7,195,642 3,597,821 10,793,464 5,396,732 2,698,366 1,349,183 4,047,550 2,023,775 6,071,326 3,035,663 9,106,990 4,553,495 13,660,486 6,830,243 20,490,730 10,245,365 30,736,096 15,368,048 7,684,024 3,842,012 1,921,006 960,503 2,881,510 1,440,755 4,322,266 2,161,133 6,483,400 3,241,700 1,620,850 810,425 2,431,276 1,215,638 607,819 1,823,458 911,729

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