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Atlas › Integer Profiles › Node 3,959,244

3,959,244

22 × 32 × 71 × 1549
Abundant Even Composite

3,959,244 factors as 2^2 × 3^2 × 71 × 1549. Its 36 positive divisors give a proper-divisor sum of 6,196,356, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 71 × 1549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,155,600
Proper Divisor Sum 6,196,356
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3959237 ← → #3959257

Radix Representation

Decimal 3959244
Binary 1111000110100111001100 (22 bits)
Octal 0o17064714
Hexadecimal 0x3C69CC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1,278 1,549 2,556 3,098 4,647 6,196 9,294 13,941 18,588 27,882 55,764 109,979 219,958 329,937 439,916 659,874 989,811 1,319,748 1,979,622 3,959,244

Collatz Trajectory (216 steps to reach 1)

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

3,959,244 1,979,622 989,811 2,969,434 1,484,717 4,454,152 2,227,076 1,113,538 556,769 1,670,308 835,154 417,577 1,252,732 626,366 313,183 939,550 469,775 1,409,326 704,663 2,113,990 1,056,995 3,170,986 1,585,493 4,756,480 2,378,240 1,189,120 594,560 297,280 148,640 74,320 37,160 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150

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