λ
Sigma Notebook

4,090,224

24 × 3 × 85213
Abundant Even Composite

4,090,224 is even and not a perfect square. Its factorization is 2^4 × 3 × 85213 and its 20 divisors sum to 10,566,536.

Prime Factor Structure

Factorization String 2^4 × 3 × 85213
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,566,536
Proper Divisor Sum 6,476,312
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4090223 ← → #4090237

Radix Representation

Decimal 4090224
Binary 1111100110100101110000 (22 bits)
Octal 0o17464560
Hexadecimal 0x3E6970

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 85,213 170,426 255,639 340,852 511,278 681,704 1,022,556 1,363,408 2,045,112 4,090,224

Collatz Trajectory (105 steps to reach 1)

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

4,090,224 2,045,112 1,022,556 511,278 255,639 766,918 383,459 1,150,378 575,189 1,725,568 862,784 431,392 215,696 107,848 53,924 26,962 13,481 40,444 20,222 10,111 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721

More profiles

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