λ
Ratio Atlas

6,681,198

2 × 3 × 19 × 103 × 569
Abundant Even Composite

6,681,198 factors as 2 × 3 × 19 × 103 × 569. Its 32 positive divisors give a proper-divisor sum of 7,546,002, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 103 × 569
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,227,200
Proper Divisor Sum 7,546,002
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6681197 ← → #6681203

Radix Representation

Decimal 6681198
Binary 11001011111001001101110 (23 bits)
Octal 0o31371156
Hexadecimal 0x65F26E

Divisor Catalog (32)

1 2 3 6 19 38 57 103 114 206 309 569 618 1,138 1,707 1,957 3,414 3,914 5,871 10,811 11,742 21,622 32,433 58,607 64,866 117,214 175,821 351,642 1,113,533 2,227,066 3,340,599 6,681,198

Collatz Trajectory (90 steps to reach 1)

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

6,681,198 3,340,599 10,021,798 5,010,899 15,032,698 7,516,349 22,549,048 11,274,524 5,637,262 2,818,631 8,455,894 4,227,947 12,683,842 6,341,921 19,025,764 9,512,882 4,756,441 14,269,324 7,134,662 3,567,331 10,701,994 5,350,997 16,052,992 8,026,496 4,013,248 2,006,624 1,003,312 501,656 250,828 125,414 62,707 188,122 94,061 282,184 141,092 70,546 35,273 105,820 52,910 26,455 79,366 39,683 119,050 59,525 178,576 89,288 44,644 22,322 11,161 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064

More profiles

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