λ
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6,527,830

2 × 5 × 17 × 19 × 43 × 47
Abundant Even Composite

6,527,830 factors as 2 × 5 × 17 × 19 × 43 × 47. Its 64 positive divisors give a proper-divisor sum of 7,157,930, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 19 × 43 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,685,760
Proper Divisor Sum 7,157,930
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6527827 ← → #6527869

Radix Representation

Decimal 6527830
Binary 11000111001101101010110 (23 bits)
Octal 0o30715526
Hexadecimal 0x639B56

Divisor Catalog (60 of 64)

1 2 5 10 17 19 34 38 43 47 85 86 94 95 170 190 215 235 323 430 470 646 731 799 817 893 1,462 1,598 1,615 1,634 1,786 2,021 3,230 3,655 3,995 4,042 4,085 4,465 7,310 7,990 8,170 8,930 10,105 13,889 15,181 20,210 27,778 30,362 34,357 38,399 68,714 69,445 75,905 76,798 138,890 151,810 171,785 191,995 343,570 383,990

Collatz Trajectory (209 steps to reach 1)

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

6,527,830 3,263,915 9,791,746 4,895,873 14,687,620 7,343,810 3,671,905 11,015,716 5,507,858 2,753,929 8,261,788 4,130,894 2,065,447 6,196,342 3,098,171 9,294,514 4,647,257 13,941,772 6,970,886 3,485,443 10,456,330 5,228,165 15,684,496 7,842,248 3,921,124 1,960,562 980,281 2,940,844 1,470,422 735,211 2,205,634 1,102,817 3,308,452 1,654,226 827,113 2,481,340 1,240,670 620,335 1,861,006 930,503 2,791,510 1,395,755 4,187,266 2,093,633 6,280,900 3,140,450 1,570,225 4,710,676 2,355,338 1,177,669 3,533,008 1,766,504 883,252 441,626 220,813 662,440 331,220 165,610 82,805 248,416

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