6,682,081

7² × 31 × 53 × 83

6,682,081 factors as 7^2 × 31 × 53 × 83. Its 24 positive divisors give a proper-divisor sum of 1,591,583, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 7^2 × 31 × 53 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,273,664

Proper Divisor Sum 1,591,583

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6682069 ← → #6682087

Radix Representation

Decimal	6682081
Binary	11001011111010111100001 (23 bits)
Octal	0o31372741
Hexadecimal	0x65F5E1

Divisor Catalog (24)

1 7 31 49 53 83 217 371 581 1,519 1,643 2,573 2,597 4,067 4,399 11,501 18,011 30,793 80,507 126,077 136,369 215,551 954,583 6,682,081

Collatz Trajectory (116 steps to reach 1)

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

6,682,081 20,046,244 10,023,122 5,011,561 15,034,684 7,517,342 3,758,671 11,276,014 5,638,007 16,914,022 8,457,011 25,371,034 12,685,517 38,056,552 19,028,276 9,514,138 4,757,069 14,271,208 7,135,604 3,567,802 1,783,901 5,351,704 2,675,852 1,337,926 668,963 2,006,890 1,003,445 3,010,336 1,505,168 752,584 376,292 188,146 94,073 282,220 141,110 70,555 211,666 105,833 317,500 158,750 79,375 238,126 119,063 357,190 178,595 535,786 267,893 803,680 401,840 200,920 100,460 50,230 25,115 75,346 37,673 113,020 56,510 28,255 84,766 42,383

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