The number 3421
3421 is a composite number with 4 divisors. Its prime factorisation is 11 × 311. Divisors (4): 1, 11, 311, 3421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3421: a semiprime: 11 × 311, the product of two primes.
- 2
3421 is composite. Its prime factorisation is
- 3
The divisors add up to 3744; without 3421 itself that is 323, so 3421 is deficient (323 is less than 3421). Euler's totient φ(3421) = 3100 numbers up to 3421 share no factor with it.
- 4
The digits of 3421 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3421 = 11 \times 311 \]
3421 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3744 |
| Euler totient φ(n) | 3100 |
| Square | 11703241 |
| Cube | 40036787461 |
| Square root | 58.489315 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.421 × |
3421 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and twenty-one |
| Roman numerals | MMMCDXXI |
| Binary (base 2) | 110101011101 |
| Octal (base 8) | 6535 |
| Hexadecimal (base 16) | D5D |
| Base 3 | 11200201 |
| As time | 3421 seconds = 57 min 1 s |
Is 3421 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3421 ÷ 11 = 311) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3421 a prime number?
No. 3421 = 11 × 311, so it is divisible by 11.
What are the factors of 3421?
1, 11, 311, 3421.
What is 3421 in binary?
110101011101 (hexadecimal D5D, octal 6535).
What is the square root of 3421?
About 58.4893.
What is 3421 in Roman numerals?
MMMCDXXI.
Is 3421 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3421?
3421 is a semiprime: 11 × 311, the product of two primes.