43,948,060

2² × 5 × 13 × 17 × 61 × 163

43,948,060 factors as 2^2 × 5 × 13 × 17 × 61 × 163. Its 96 positive divisors give a proper-divisor sum of 63,670,052, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 17 × 61 × 163

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 107,618,112

Proper Divisor Sum 63,670,052

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #43948057 ← → #43948061

Radix Representation

Decimal	43948060
Binary	10100111101001100000011100 (26 bits)
Octal	0o247514034
Hexadecimal	0x29E981C

Divisor Catalog (60 of 96)

1 2 4 5 10 13 17 20 26 34 52 61 65 68 85 122 130 163 170 221 244 260 305 326 340 442 610 652 793 815 884 1,037 1,105 1,220 1,586 1,630 2,074 2,119 2,210 2,771 3,172 3,260 3,965 4,148 4,238 4,420 5,185 5,542 7,930 8,476 9,943 10,370 10,595 11,084 13,481 13,855 15,860 19,886 20,740 21,190

Collatz Trajectory (266 steps to reach 1)

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

43,948,060 21,974,030 10,987,015 32,961,046 16,480,523 49,441,570 24,720,785 74,162,356 37,081,178 18,540,589 55,621,768 27,810,884 13,905,442 6,952,721 20,858,164 10,429,082 5,214,541 15,643,624 7,821,812 3,910,906 1,955,453 5,866,360 2,933,180 1,466,590 733,295 2,199,886 1,099,943 3,299,830 1,649,915 4,949,746 2,474,873 7,424,620 3,712,310 1,856,155 5,568,466 2,784,233 8,352,700 4,176,350 2,088,175 6,264,526 3,132,263 9,396,790 4,698,395 14,095,186 7,047,593 21,142,780 10,571,390 5,285,695 15,857,086 7,928,543 23,785,630 11,892,815 35,678,446 17,839,223 53,517,670 26,758,835 80,276,506 40,138,253 120,414,760 60,207,380

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