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Atlas › Integer Profiles › Node 3,901,944

3,901,944

23 × 3 × 367 × 443
Abundant Even Composite

3,901,944 factors as 2^3 × 3 × 367 × 443. Its 32 positive divisors give a proper-divisor sum of 5,901,576, so this integer is abundant. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 367 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,803,520
Proper Divisor Sum 5,901,576
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3901943 ← → #3901951

Radix Representation

Decimal 3901944
Binary 1110111000100111111000 (22 bits)
Octal 0o16704770
Hexadecimal 0x3B89F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 367 443 734 886 1,101 1,329 1,468 1,772 2,202 2,658 2,936 3,544 4,404 5,316 8,808 10,632 162,581 325,162 487,743 650,324 975,486 1,300,648 1,950,972 3,901,944

Collatz Trajectory (291 steps to reach 1)

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

3,901,944 1,950,972 975,486 487,743 1,463,230 731,615 2,194,846 1,097,423 3,292,270 1,646,135 4,938,406 2,469,203 7,407,610 3,703,805 11,111,416 5,555,708 2,777,854 1,388,927 4,166,782 2,083,391 6,250,174 3,125,087 9,375,262 4,687,631 14,062,894 7,031,447 21,094,342 10,547,171 31,641,514 15,820,757 47,462,272 23,731,136 11,865,568 5,932,784 2,966,392 1,483,196 741,598 370,799 1,112,398 556,199 1,668,598 834,299 2,502,898 1,251,449 3,754,348 1,877,174 938,587 2,815,762 1,407,881 4,223,644 2,111,822 1,055,911 3,167,734 1,583,867 4,751,602 2,375,801 7,127,404 3,563,702 1,781,851 5,345,554

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