λ
Sigma Notebook

2,963,406

2 × 3 × 172 × 1709
Abundant Even Composite

2,963,406 is even and not a perfect square. Its factorization is 2 × 3 × 17^2 × 1709 and its 24 divisors sum to 6,299,640.

Prime Factor Structure

Factorization String 2 × 3 × 17^2 × 1709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,299,640
Proper Divisor Sum 3,336,234
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2963399 ← → #2963407

Radix Representation

Decimal 2963406
Binary 1011010011011111001110 (22 bits)
Octal 0o13233716
Hexadecimal 0x2D37CE

Divisor Catalog (24)

1 2 3 6 17 34 51 102 289 578 867 1,709 1,734 3,418 5,127 10,254 29,053 58,106 87,159 174,318 493,901 987,802 1,481,703 2,963,406

Collatz Trajectory (182 steps to reach 1)

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

2,963,406 1,481,703 4,445,110 2,222,555 6,667,666 3,333,833 10,001,500 5,000,750 2,500,375 7,501,126 3,750,563 11,251,690 5,625,845 16,877,536 8,438,768 4,219,384 2,109,692 1,054,846 527,423 1,582,270 791,135 2,373,406 1,186,703 3,560,110 1,780,055 5,340,166 2,670,083 8,010,250 4,005,125 12,015,376 6,007,688 3,003,844 1,501,922 750,961 2,252,884 1,126,442 563,221 1,689,664 844,832 422,416 211,208 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133

More profiles

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