52,910,494

2 × 7³ × 13 × 17 × 349

52,910,494 factors as 2 × 7^3 × 13 × 17 × 349. Its 64 positive divisors give a proper-divisor sum of 52,929,506, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 13 × 17 × 349

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 105,840,000

Proper Divisor Sum 52,929,506

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #52910461 ← → #52910509

Radix Representation

Decimal	52910494
Binary	11001001110101100110011110 (26 bits)
Octal	0o311654636
Hexadecimal	0x327599E

Divisor Catalog (60 of 64)

1 2 7 13 14 17 26 34 49 91 98 119 182 221 238 343 349 442 637 686 698 833 1,274 1,547 1,666 2,443 3,094 4,459 4,537 4,886 5,831 5,933 8,918 9,074 10,829 11,662 11,866 17,101 21,658 31,759 34,202 41,531 63,518 75,803 77,129 83,062 119,707 151,606 154,258 222,313 239,414 290,717 444,626 539,903 581,434 1,079,806 1,556,191 2,035,019 3,112,382 3,779,321

Collatz Trajectory (168 steps to reach 1)

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

52,910,494 26,455,247 79,365,742 39,682,871 119,048,614 59,524,307 178,572,922 89,286,461 267,859,384 133,929,692 66,964,846 33,482,423 100,447,270 50,223,635 150,670,906 75,335,453 226,006,360 113,003,180 56,501,590 28,250,795 84,752,386 42,376,193 127,128,580 63,564,290 31,782,145 95,346,436 47,673,218 23,836,609 71,509,828 35,754,914 17,877,457 53,632,372 26,816,186 13,408,093 40,224,280 20,112,140 10,056,070 5,028,035 15,084,106 7,542,053 22,626,160 11,313,080 5,656,540 2,828,270 1,414,135 4,242,406 2,121,203 6,363,610 3,181,805 9,545,416 4,772,708 2,386,354 1,193,177 3,579,532 1,789,766 894,883 2,684,650 1,342,325 4,026,976 2,013,488

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