λ
Ratio Atlas

2,668,915

5 × 172 × 1847
Deficient Odd Composite

2,668,915 factors as 5 × 17^2 × 1847. Its 12 positive divisors give a proper-divisor sum of 735,101, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 5 × 17^2 × 1847
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,404,016
Proper Divisor Sum 735,101
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2668909 ← → #2668931

Radix Representation

Decimal 2668915
Binary 1010001011100101110011 (22 bits)
Octal 0o12134563
Hexadecimal 0x28B973

Divisor Catalog (12)

1 5 17 85 289 1,445 1,847 9,235 31,399 156,995 533,783 2,668,915

Collatz Trajectory (143 steps to reach 1)

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

2,668,915 8,006,746 4,003,373 12,010,120 6,005,060 3,002,530 1,501,265 4,503,796 2,251,898 1,125,949 3,377,848 1,688,924 844,462 422,231 1,266,694 633,347 1,900,042 950,021 2,850,064 1,425,032 712,516 356,258 178,129 534,388 267,194 133,597 400,792 200,396 100,198 50,099 150,298 75,149 225,448 112,724 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825

More profiles

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