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Atlas › Integer Profiles › Node 3,891,966

3,891,966

2 × 3 × 13 × 41 × 1217
Abundant Even Composite

3,891,966 factors as 2 × 3 × 13 × 41 × 1217. Its 32 positive divisors give a proper-divisor sum of 4,702,242, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 41 × 1217
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,594,208
Proper Divisor Sum 4,702,242
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3891917 ← → #3891971

Radix Representation

Decimal 3891966
Binary 1110110110001011111110 (22 bits)
Octal 0o16661376
Hexadecimal 0x3B62FE

Divisor Catalog (32)

1 2 3 6 13 26 39 41 78 82 123 246 533 1,066 1,217 1,599 2,434 3,198 3,651 7,302 15,821 31,642 47,463 49,897 94,926 99,794 149,691 299,382 648,661 1,297,322 1,945,983 3,891,966

Collatz Trajectory (203 steps to reach 1)

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

3,891,966 1,945,983 5,837,950 2,918,975 8,756,926 4,378,463 13,135,390 6,567,695 19,703,086 9,851,543 29,554,630 14,777,315 44,331,946 22,165,973 66,497,920 33,248,960 16,624,480 8,312,240 4,156,120 2,078,060 1,039,030 519,515 1,558,546 779,273 2,337,820 1,168,910 584,455 1,753,366 876,683 2,630,050 1,315,025 3,945,076 1,972,538 986,269 2,958,808 1,479,404 739,702 369,851 1,109,554 554,777 1,664,332 832,166 416,083 1,248,250 624,125 1,872,376 936,188 468,094 234,047 702,142 351,071 1,053,214 526,607 1,579,822 789,911 2,369,734 1,184,867 3,554,602 1,777,301 5,331,904

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