6,988,080

2⁴ × 3 × 5 × 11 × 2647

6,988,080 factors as 2^4 × 3 × 5 × 11 × 2647. Its 80 positive divisors give a proper-divisor sum of 16,653,264, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 2647

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 23,641,344

Proper Divisor Sum 16,653,264

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6988073 ← → #6988123

Radix Representation

Decimal	6988080
Binary	11010101010000100110000 (23 bits)
Octal	0o32520460
Hexadecimal	0x6AA130

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1,320 2,640 2,647 5,294 7,941 10,588 13,235 15,882 21,176 26,470 29,117 31,764 39,705 42,352 52,940 58,234 63,528 79,410 87,351 105,880 116,468 127,056

Collatz Trajectory (191 steps to reach 1)

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

6,988,080 3,494,040 1,747,020 873,510 436,755 1,310,266 655,133 1,965,400 982,700 491,350 245,675 737,026 368,513 1,105,540 552,770 276,385 829,156 414,578 207,289 621,868 310,934 155,467 466,402 233,201 699,604 349,802 174,901 524,704 262,352 131,176 65,588 32,794 16,397 49,192 24,596 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235

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