λ
Sigma Notebook

2,189,106

2 × 34 × 13513
Abundant Even Composite

2,189,106 is even and not a perfect square. Its factorization is 2 × 3^4 × 13513 and its 20 divisors sum to 4,905,582.

Prime Factor Structure

Factorization String 2 × 3^4 × 13513
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,905,582
Proper Divisor Sum 2,716,476
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2189101 ← → #2189147

Radix Representation

Decimal 2189106
Binary 1000010110011100110010 (22 bits)
Octal 0o10263462
Hexadecimal 0x216732

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 13,513 27,026 40,539 81,078 121,617 243,234 364,851 729,702 1,094,553 2,189,106

Collatz Trajectory (60 steps to reach 1)

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

2,189,106 1,094,553 3,283,660 1,641,830 820,915 2,462,746 1,231,373 3,694,120 1,847,060 923,530 461,765 1,385,296 692,648 346,324 173,162 86,581 259,744 129,872 64,936 32,468 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2

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