λ
Sigma Notebook

2,188,010

2 × 5 × 11 × 19891
Deficient Even Composite

2,188,010 is even and not a perfect square. Its factorization is 2 × 5 × 11 × 19891 and its 16 divisors sum to 4,296,672.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 19891
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,296,672
Proper Divisor Sum 2,108,662
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2188001 ← → #2188031

Radix Representation

Decimal 2188010
Binary 1000010110001011101010 (22 bits)
Octal 0o10261352
Hexadecimal 0x2162EA

Divisor Catalog (16)

1 2 5 10 11 22 55 110 19,891 39,782 99,455 198,910 218,801 437,602 1,094,005 2,188,010

Collatz Trajectory (135 steps to reach 1)

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

2,188,010 1,094,005 3,282,016 1,641,008 820,504 410,252 205,126 102,563 307,690 153,845 461,536 230,768 115,384 57,692 28,846 14,423 43,270 21,635 64,906 32,453 97,360 48,680 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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