λ
Sigma Notebook

3,924,380

22 × 5 × 239 × 821
Abundant Even Composite

3,924,380 is even and not a perfect square. Its factorization is 2^2 × 5 × 239 × 821 and its 24 divisors sum to 8,285,760.

Prime Factor Structure

Factorization String 2^2 × 5 × 239 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,285,760
Proper Divisor Sum 4,361,380
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3924353 ← → #3924409

Radix Representation

Decimal 3924380
Binary 1110111110000110011100 (22 bits)
Octal 0o16760634
Hexadecimal 0x3BE19C

Divisor Catalog (24)

1 2 4 5 10 20 239 478 821 956 1,195 1,642 2,390 3,284 4,105 4,780 8,210 16,420 196,219 392,438 784,876 981,095 1,962,190 3,924,380

Collatz Trajectory (154 steps to reach 1)

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

3,924,380 1,962,190 981,095 2,943,286 1,471,643 4,414,930 2,207,465 6,622,396 3,311,198 1,655,599 4,966,798 2,483,399 7,450,198 3,725,099 11,175,298 5,587,649 16,762,948 8,381,474 4,190,737 12,572,212 6,286,106 3,143,053 9,429,160 4,714,580 2,357,290 1,178,645 3,535,936 1,767,968 883,984 441,992 220,996 110,498 55,249 165,748 82,874 41,437 124,312 62,156 31,078 15,539 46,618 23,309 69,928 34,964 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151

More profiles

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