λ
Sigma Notebook

2,133,347

17 × 67 × 1873
Deficient Odd Composite

2,133,347 is odd and not a perfect square. Its factorization is 17 × 67 × 1873 and its 8 divisors sum to 2,293,776.

Prime Factor Structure

Factorization String 17 × 67 × 1873
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,293,776
Proper Divisor Sum 160,429
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2133331 ← → #2133361

Radix Representation

Decimal 2133347
Binary 1000001000110101100011 (22 bits)
Octal 0o10106543
Hexadecimal 0x208D63

Divisor Catalog (8)

1 17 67 1,139 1,873 31,841 125,491 2,133,347

Collatz Trajectory (166 steps to reach 1)

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

2,133,347 6,400,042 3,200,021 9,600,064 4,800,032 2,400,016 1,200,008 600,004 300,002 150,001 450,004 225,002 112,501 337,504 168,752 84,376 42,188 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380

More profiles

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