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Atlas › Integer Profiles › Node 6,863,080

6,863,080

23 × 5 × 7 × 127 × 193
Abundant Even Composite

6,863,080 factors as 2^3 × 5 × 7 × 127 × 193. Its 64 positive divisors give a proper-divisor sum of 11,015,960, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 127 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,879,040
Proper Divisor Sum 11,015,960
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6863071 ← → #6863099

Radix Representation

Decimal 6863080
Binary 11010001011100011101000 (23 bits)
Octal 0o32134350
Hexadecimal 0x68B8E8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 193 254 280 386 508 635 772 889 965 1,016 1,270 1,351 1,544 1,778 1,930 2,540 2,702 3,556 3,860 4,445 5,080 5,404 6,755 7,112 7,720 8,890 10,808 13,510 17,780 24,511 27,020 35,560 49,022 54,040 98,044 122,555 171,577 196,088 245,110 343,154 490,220 686,308 857,885 980,440

Collatz Trajectory (116 steps to reach 1)

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

6,863,080 3,431,540 1,715,770 857,885 2,573,656 1,286,828 643,414 321,707 965,122 482,561 1,447,684 723,842 361,921 1,085,764 542,882 271,441 814,324 407,162 203,581 610,744 305,372 152,686 76,343 229,030 114,515 343,546 171,773 515,320 257,660 128,830 64,415 193,246 96,623 289,870 144,935 434,806 217,403 652,210 326,105 978,316 489,158 244,579 733,738 366,869 1,100,608 550,304 275,152 137,576 68,788 34,394 17,197 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256

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