λ
Ratio Atlas

4,238,316

22 × 32 × 117731
Abundant Even Composite

4,238,316 factors as 2^2 × 3^2 × 117731. Its 18 positive divisors give a proper-divisor sum of 6,475,296, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 117731
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 10,713,612
Proper Divisor Sum 6,475,296
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4238309 ← → #4238393

Radix Representation

Decimal 4238316
Binary 10000001010101111101100 (23 bits)
Octal 0o20125754
Hexadecimal 0x40ABEC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 117,731 235,462 353,193 470,924 706,386 1,059,579 1,412,772 2,119,158 4,238,316

Collatz Trajectory (154 steps to reach 1)

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

4,238,316 2,119,158 1,059,579 3,178,738 1,589,369 4,768,108 2,384,054 1,192,027 3,576,082 1,788,041 5,364,124 2,682,062 1,341,031 4,023,094 2,011,547 6,034,642 3,017,321 9,051,964 4,525,982 2,262,991 6,788,974 3,394,487 10,183,462 5,091,731 15,275,194 7,637,597 22,912,792 11,456,396 5,728,198 2,864,099 8,592,298 4,296,149 12,888,448 6,444,224 3,222,112 1,611,056 805,528 402,764 201,382 100,691 302,074 151,037 453,112 226,556 113,278 56,639 169,918 84,959 254,878 127,439 382,318 191,159 573,478 286,739 860,218 430,109 1,290,328 645,164 322,582 161,291

More profiles

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