λ
Sigma Notebook

6,729,716

22 × 7 × 240347
Abundant Even Composite

6,729,716 is even and not a perfect square. Its factorization is 2^2 × 7 × 240347 and its 12 divisors sum to 13,459,488.

Prime Factor Structure

Factorization String 2^2 × 7 × 240347
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,459,488
Proper Divisor Sum 6,729,772
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6729691 ← → #6729719

Radix Representation

Decimal 6729716
Binary 11001101010111111110100 (23 bits)
Octal 0o31527764
Hexadecimal 0x66AFF4

Divisor Catalog (12)

1 2 4 7 14 28 240,347 480,694 961,388 1,682,429 3,364,858 6,729,716

Collatz Trajectory (147 steps to reach 1)

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

6,729,716 3,364,858 1,682,429 5,047,288 2,523,644 1,261,822 630,911 1,892,734 946,367 2,839,102 1,419,551 4,258,654 2,129,327 6,387,982 3,193,991 9,581,974 4,790,987 14,372,962 7,186,481 21,559,444 10,779,722 5,389,861 16,169,584 8,084,792 4,042,396 2,021,198 1,010,599 3,031,798 1,515,899 4,547,698 2,273,849 6,821,548 3,410,774 1,705,387 5,116,162 2,558,081 7,674,244 3,837,122 1,918,561 5,755,684 2,877,842 1,438,921 4,316,764 2,158,382 1,079,191 3,237,574 1,618,787 4,856,362 2,428,181 7,284,544 3,642,272 1,821,136 910,568 455,284 227,642 113,821 341,464 170,732 85,366 42,683

More profiles

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