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17,530,350

2 × 3 × 52 × 19 × 6151
Abundant Even Composite

17,530,350 factors as 2 × 3 × 5^2 × 19 × 6151. Its 48 positive divisors give a proper-divisor sum of 28,240,530, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 19 × 6151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 45,770,880
Proper Divisor Sum 28,240,530
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #17530343 ← → #17530351

Radix Representation

Decimal 17530350
Binary 1000010110111110111101110 (25 bits)
Octal 0o102676756
Hexadecimal 0x10B7DEE

Divisor Catalog (48)

1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1,425 2,850 6,151 12,302 18,453 30,755 36,906 61,510 92,265 116,869 153,775 184,530 233,738 307,550 350,607 461,325 584,345 701,214 922,650 1,168,690 1,753,035 2,921,725 3,506,070 5,843,450 8,765,175 17,530,350

Collatz Trajectory (120 steps to reach 1)

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

17,530,350 8,765,175 26,295,526 13,147,763 39,443,290 19,721,645 59,164,936 29,582,468 14,791,234 7,395,617 22,186,852 11,093,426 5,546,713 16,640,140 8,320,070 4,160,035 12,480,106 6,240,053 18,720,160 9,360,080 4,680,040 2,340,020 1,170,010 585,005 1,755,016 877,508 438,754 219,377 658,132 329,066 164,533 493,600 246,800 123,400 61,700 30,850 15,425 46,276 23,138 11,569 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091

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