8,208,080

2⁴ × 5 × 37 × 47 × 59

8,208,080 factors as 2^4 × 5 × 37 × 47 × 59. Its 80 positive divisors give a proper-divisor sum of 12,147,760, so this integer is abundant. The Collatz stopping time is 336 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 37 × 47 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,355,840

Proper Divisor Sum 12,147,760

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8208071 ← → #8208091

Radix Representation

Decimal	8208080
Binary	11111010011111011010000 (23 bits)
Octal	0o37237320
Hexadecimal	0x7D3ED0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 37 40 47 59 74 80 94 118 148 185 188 235 236 295 296 370 376 470 472 590 592 740 752 940 944 1,180 1,480 1,739 1,880 2,183 2,360 2,773 2,960 3,478 3,760 4,366 4,720 5,546 6,956 8,695 8,732 10,915 11,092 13,865 13,912 17,390 17,464 21,830 22,184 27,730 27,824 34,780

Collatz Trajectory (336 steps to reach 1)

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

8,208,080 4,104,040 2,052,020 1,026,010 513,005 1,539,016 769,508 384,754 192,377 577,132 288,566 144,283 432,850 216,425 649,276 324,638 162,319 486,958 243,479 730,438 365,219 1,095,658 547,829 1,643,488 821,744 410,872 205,436 102,718 51,359 154,078 77,039 231,118 115,559 346,678 173,339 520,018 260,009 780,028 390,014 195,007 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631 3,331,894 1,665,947 4,997,842 2,498,921 7,496,764 3,748,382 1,874,191

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