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Atlas › Integer Profiles › Node 6,281,982

6,281,982

2 × 33 × 7 × 16619
Abundant Even Composite

6,281,982 factors as 2 × 3^3 × 7 × 16619. Its 32 positive divisors give a proper-divisor sum of 9,673,218, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 16619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,955,200
Proper Divisor Sum 9,673,218
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6281981 ← → #6281983

Radix Representation

Decimal 6281982
Binary 10111111101101011111110 (23 bits)
Octal 0o27755376
Hexadecimal 0x5FDAFE

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 16,619 33,238 49,857 99,714 116,333 149,571 232,666 299,142 348,999 448,713 697,998 897,426 1,046,997 2,093,994 3,140,991 6,281,982

Collatz Trajectory (196 steps to reach 1)

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

6,281,982 3,140,991 9,422,974 4,711,487 14,134,462 7,067,231 21,201,694 10,600,847 31,802,542 15,901,271 47,703,814 23,851,907 71,555,722 35,777,861 107,333,584 53,666,792 26,833,396 13,416,698 6,708,349 20,125,048 10,062,524 5,031,262 2,515,631 7,546,894 3,773,447 11,320,342 5,660,171 16,980,514 8,490,257 25,470,772 12,735,386 6,367,693 19,103,080 9,551,540 4,775,770 2,387,885 7,163,656 3,581,828 1,790,914 895,457 2,686,372 1,343,186 671,593 2,014,780 1,007,390 503,695 1,511,086 755,543 2,266,630 1,133,315 3,399,946 1,699,973 5,099,920 2,549,960 1,274,980 637,490 318,745 956,236 478,118 239,059

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