λ
Sigma Notebook

3,892,338

2 × 32 × 101 × 2141
Abundant Even Composite

3,892,338 is even and not a perfect square. Its factorization is 2 × 3^2 × 101 × 2141 and its 24 divisors sum to 8,520,876.

Prime Factor Structure

Factorization String 2 × 3^2 × 101 × 2141
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,520,876
Proper Divisor Sum 4,628,538
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3892333 ← → #3892367

Radix Representation

Decimal 3892338
Binary 1110110110010001110010 (22 bits)
Octal 0o16662162
Hexadecimal 0x3B6472

Divisor Catalog (24)

1 2 3 6 9 18 101 202 303 606 909 1,818 2,141 4,282 6,423 12,846 19,269 38,538 216,241 432,482 648,723 1,297,446 1,946,169 3,892,338

Collatz Trajectory (92 steps to reach 1)

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

3,892,338 1,946,169 5,838,508 2,919,254 1,459,627 4,378,882 2,189,441 6,568,324 3,284,162 1,642,081 4,926,244 2,463,122 1,231,561 3,694,684 1,847,342 923,671 2,771,014 1,385,507 4,156,522 2,078,261 6,234,784 3,117,392 1,558,696 779,348 389,674 194,837 584,512 292,256 146,128 73,064 36,532 18,266 9,133 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688

More profiles

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