λ
Sigma Notebook

8,275,662

2 × 33 × 331 × 463
Abundant Even Composite

8,275,662 is even and not a perfect square. Its factorization is 2 × 3^3 × 331 × 463 and its 32 divisors sum to 18,485,760.

Prime Factor Structure

Factorization String 2 × 3^3 × 331 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,485,760
Proper Divisor Sum 10,210,098
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8275649 ← → #8275703

Radix Representation

Decimal 8275662
Binary 11111100100011011001110 (23 bits)
Octal 0o37443316
Hexadecimal 0x7E46CE

Divisor Catalog (32)

1 2 3 6 9 18 27 54 331 463 662 926 993 1,389 1,986 2,778 2,979 4,167 5,958 8,334 8,937 12,501 17,874 25,002 153,253 306,506 459,759 919,518 1,379,277 2,758,554 4,137,831 8,275,662

Collatz Trajectory (199 steps to reach 1)

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

8,275,662 4,137,831 12,413,494 6,206,747 18,620,242 9,310,121 27,930,364 13,965,182 6,982,591 20,947,774 10,473,887 31,421,662 15,710,831 47,132,494 23,566,247 70,698,742 35,349,371 106,048,114 53,024,057 159,072,172 79,536,086 39,768,043 119,304,130 59,652,065 178,956,196 89,478,098 44,739,049 134,217,148 67,108,574 33,554,287 100,662,862 50,331,431 150,994,294 75,497,147 226,491,442 113,245,721 339,737,164 169,868,582 84,934,291 254,802,874 127,401,437 382,204,312 191,102,156 95,551,078 47,775,539 143,326,618 71,663,309 214,989,928 107,494,964 53,747,482 26,873,741 80,621,224 40,310,612 20,155,306 10,077,653 30,232,960 15,116,480 7,558,240 3,779,120 1,889,560

More profiles

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