λ
Sigma Notebook

4,480,266

2 × 3 × 74 × 311
Abundant Even Composite

4,480,266 is even and not a perfect square. Its factorization is 2 × 3 × 7^4 × 311 and its 40 divisors sum to 10,486,944.

Prime Factor Structure

Factorization String 2 × 3 × 7^4 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,486,944
Proper Divisor Sum 6,006,678
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4480261 ← → #4480271

Radix Representation

Decimal 4480266
Binary 10001000101110100001010 (23 bits)
Octal 0o21056412
Hexadecimal 0x445D0A

Divisor Catalog (40)

1 2 3 6 7 14 21 42 49 98 147 294 311 343 622 686 933 1,029 1,866 2,058 2,177 2,401 4,354 4,802 6,531 7,203 13,062 14,406 15,239 30,478 45,717 91,434 106,673 213,346 320,019 640,038 746,711 1,493,422 2,240,133 4,480,266

Collatz Trajectory (61 steps to reach 1)

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

4,480,266 2,240,133 6,720,400 3,360,200 1,680,100 840,050 420,025 1,260,076 630,038 315,019 945,058 472,529 1,417,588 708,794 354,397 1,063,192 531,596 265,798 132,899 398,698 199,349 598,048 299,024 149,512 74,756 37,378 18,689 56,068 28,034 14,017 42,052 21,026 10,513 31,540 15,770 7,885 23,656 11,828 5,914 2,957 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4

More profiles

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