8,252,080

2⁴ × 5 × 19 × 61 × 89

8,252,080 factors as 2^4 × 5 × 19 × 61 × 89. Its 80 positive divisors give a proper-divisor sum of 12,505,520, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 19 × 61 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,757,600

Proper Divisor Sum 12,505,520

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8252059 ← → #8252093

Radix Representation

Decimal	8252080
Binary	11111011110101010110000 (23 bits)
Octal	0o37365260
Hexadecimal	0x7DEAB0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 19 20 38 40 61 76 80 89 95 122 152 178 190 244 304 305 356 380 445 488 610 712 760 890 976 1,159 1,220 1,424 1,520 1,691 1,780 2,318 2,440 3,382 3,560 4,636 4,880 5,429 5,795 6,764 7,120 8,455 9,272 10,858 11,590 13,528 16,910 18,544 21,716 23,180 27,056 27,145 33,820

Collatz Trajectory (106 steps to reach 1)

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

8,252,080 4,126,040 2,063,020 1,031,510 515,755 1,547,266 773,633 2,320,900 1,160,450 580,225 1,740,676 870,338 435,169 1,305,508 652,754 326,377 979,132 489,566 244,783 734,350 367,175 1,101,526 550,763 1,652,290 826,145 2,478,436 1,239,218 619,609 1,858,828 929,414 464,707 1,394,122 697,061 2,091,184 1,045,592 522,796 261,398 130,699 392,098 196,049 588,148 294,074 147,037 441,112 220,556 110,278 55,139 165,418 82,709 248,128 124,064 62,032 31,016 15,508 7,754 3,877 11,632 5,816 2,908 1,454

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