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Atlas › Integer Profiles › Node 3,899,268

3,899,268

22 × 32 × 89 × 1217
Abundant Even Composite

3,899,268 factors as 2^2 × 3^2 × 89 × 1217. Its 36 positive divisors give a proper-divisor sum of 6,076,152, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 89 × 1217
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,975,420
Proper Divisor Sum 6,076,152
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3899243 ← → #3899279

Radix Representation

Decimal 3899268
Binary 1110110111111110000100 (22 bits)
Octal 0o16677604
Hexadecimal 0x3B7F84

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1,068 1,217 1,602 2,434 3,204 3,651 4,868 7,302 10,953 14,604 21,906 43,812 108,313 216,626 324,939 433,252 649,878 974,817 1,299,756 1,949,634 3,899,268

Collatz Trajectory (216 steps to reach 1)

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

3,899,268 1,949,634 974,817 2,924,452 1,462,226 731,113 2,193,340 1,096,670 548,335 1,645,006 822,503 2,467,510 1,233,755 3,701,266 1,850,633 5,551,900 2,775,950 1,387,975 4,163,926 2,081,963 6,245,890 3,122,945 9,368,836 4,684,418 2,342,209 7,026,628 3,513,314 1,756,657 5,269,972 2,634,986 1,317,493 3,952,480 1,976,240 988,120 494,060 247,030 123,515 370,546 185,273 555,820 277,910 138,955 416,866 208,433 625,300 312,650 156,325 468,976 234,488 117,244 58,622 29,311 87,934 43,967 131,902 65,951 197,854 98,927 296,782 148,391

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