λ
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Atlas › Integer Profiles › Node 3,791,070

3,791,070

2 × 33 × 5 × 19 × 739
Abundant Even Composite

3,791,070 factors as 2 × 3^3 × 5 × 19 × 739. Its 64 positive divisors give a proper-divisor sum of 6,864,930, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 19 × 739
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,656,000
Proper Divisor Sum 6,864,930
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3791069 ← → #3791087

Radix Representation

Decimal 3791070
Binary 1110011101100011011110 (22 bits)
Octal 0o16354336
Hexadecimal 0x39D8DE

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 739 855 1,026 1,478 1,710 2,217 2,565 3,695 4,434 5,130 6,651 7,390 11,085 13,302 14,041 19,953 22,170 28,082 33,255 39,906 42,123 66,510 70,205 84,246 99,765 126,369 140,410 199,530 210,615 252,738 379,107 421,230 631,845

Collatz Trajectory (110 steps to reach 1)

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

3,791,070 1,895,535 5,686,606 2,843,303 8,529,910 4,264,955 12,794,866 6,397,433 19,192,300 9,596,150 4,798,075 14,394,226 7,197,113 21,591,340 10,795,670 5,397,835 16,193,506 8,096,753 24,290,260 12,145,130 6,072,565 18,217,696 9,108,848 4,554,424 2,277,212 1,138,606 569,303 1,707,910 853,955 2,561,866 1,280,933 3,842,800 1,921,400 960,700 480,350 240,175 720,526 360,263 1,080,790 540,395 1,621,186 810,593 2,431,780 1,215,890 607,945 1,823,836 911,918 455,959 1,367,878 683,939 2,051,818 1,025,909 3,077,728 1,538,864 769,432 384,716 192,358 96,179 288,538 144,269

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